Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7

Q: y = vx² – 9

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Q: Please Find an equation of the tangent line to the curve y=5^x at the point (2,25) . Tangent line:…

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

A: Given that f(x)=x2 To find two tangents that passes through (-1,-3)

Q: Find the first derivative: y= ln v5x3 –- 2 5, O y = 222 %3D 523-2 O y' = 322 5z3-2 O y' = 622 5z3-2…

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Q: What are application of 1st principle method of derivative?

A: First principle method: Differentiation from first principles: Given a function y=f(x) its first…

Q: # 3 Find the slope of the tangent line to the curve -3x²-3xy + ly = 33 at the point (- 2, 3).…

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Q: Find the slope and equation of tangent line y=4-x^3, (-1,5)

A: Consider the given equation: y=4-x3 The point where tangent has to be calculated is (-1,5)

Q: Find the points on the curve y 2x3+ 3x2- 12x + 9 where the tangent line is horizontal. (x, y)…

A: The above question is answered below

Q: Compute the required derivative approximations for the functions at the specified location, for the…

A: The given problem is to find the first derivative of the given function y=x3+4x-15 at x=0 using two…

Q: Use differentials to estimate the value. estimate =  exact value =

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

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Q: Tangent line of ex+ey-2xy = 2(e-1) at point (1,1) using implicit differentiation:

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Q: Estimate the slope of the tangent line at the point x = 3, for f(x) = In(x). (Use decimal notation.…

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Q: Find an equation of the tangent line to y sin 2x = x cos 2y at the point π/2 , π/4 . Do not…

A: First we will find Differentiation of given equation to get slope of the tangent line. Now equation…

Q: tion of the tangent line to f(x) = 4 %3D

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Q: b) Trapezoidal rule with end corrections using the first derivative

A: The formula for the trapezoidal rule with end correction is in the integral with upper limit is a…

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - -2, and the line 4…

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Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4, –-1). (Use…

A: The Equation of the tangent plane: - z0=(x0,y0) is a point in the domain of f, and defined by a…

Q: 6. Find the tangent line and normal line to curve y = x3 - 3x2 - 2 at point (1, -4)?

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Q: The slope of the tangent line to the graph of f(r) at the point (-7,5) is The equation of the…

A: Topic - equation and slope of tangent line to curve

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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Q: %3D

A: Solving

Q: Fin derivative of the funclions. y=Log

A: The given function is: y=log3xx-12

Q: Qeustion 1 Use implicit differentiation to find the equation of the tangent line to the cardioid…

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Q: neslope of the tangent line to the curve entline defined by x-2x4-443=-208 at the point (2,4)…

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Q: Shows the derivative function of: TC = Q³ + 2Q²  + FC(Q), where TC = Total Cost and FC = Fixed…

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Q: Estimate the slope of the tangent line to f(x) = tan (x) at the point x = 4 (Use decimal notation.…

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Q: Find the derivative of the function. (2) = earcsin(z) 3e arcsin(23)22 V1- 25 f'(z) = V1-26

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Q: Find the slope of a line tangent to the curve of the implicit function xy +3y-68 =0, at the point…

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Q: Find the slope of the tangent line of the function g(x)=3-x^2 at the point (2, -1)

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Q: (c) Trapezoidal rule with end corrections using the first derivative and third derivatives

A: The given integral is ∫abf(x)dx=∫-11e-x2dx So, a=-1, b=1, f(x)=e-x2 c) We have to find the…

Q: Determine the second derivative of 2x+ y-- 4 y 6.x (y + 2)--9(y+2) A B - 6x (y+ 2)-+ (y + 2) - 6x (y…

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Q: Determine the Derivative of the Function: 1. y = ex - 1/ex + 1 2. y = x22x 3. y = 43x^2 4. f(x)…

A: Find derivatives

Q: 2. Use an example to show how to use the First Derivative Test for critical points

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Q: Calculate first, second, and third derivative values for function, f(x) = -x2 + 5x + 3 at points x =…

A: Forward difference Consider a linear interpolation between the current data value (t0,I0) and the…

Q: Find the derivative of the function: (DO NOT SIMPLIFY): 2z f(z)%3D +2 (高)

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Q: find the equation of tangent line of function f(x)=csc(x)-cos(x)1/2 at the point ((2*3.14)/3,…

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Q: Find the equation of tangent line to the curve y = 2 - x 2 (7, ²/7). at the point (7, Express the…

A: The objective is to find the equation of tangent line.

Q: find tangent line to the curve y=3x/7-x at a point of (-3,2/7)

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Q: Show that the rate of increase in the slope of the tangent at a point on the curve y = 2x3 is 12…

A: Consider the given curve: Here the objective is to show that the rate of increase in the slope of…

Q: Find equations of the tangent line and normal line tothe curve at the given point.   y= x2 - x4 ,…

A: Given, y=x2-x4, 1, 0

Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: ential equation is given by

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Q: 5z²)* 4/3 %3D

A: (3). The function is given by Hz = 1-5z243 To evaluate: The derivative of the function.

Q: 4. Center at (-4,9), tangent to the x-axis 5. Center at (-4,9), tangent to the y-axis

A: In this question we have to find the equation of the circle tangent to the x-axis and y-axis.

Q: Find the equations of the two tangent lines to the graph of f that pass through the Indicated point.…

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Q: Find the equation of a Tangent line to y = 2x2 – 5x – 1 that is parallel to line x + y –

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Q: Find the slope and equation of the tangent line to the curve y = x3 + 2x + 1 at ( 2,4)

A: Our Aim is to find the slope and equation of the tangent line to the curvey=x3+2x+1 at (2,4) -(i)

Q: Find the average rate of change of between the points on the function whose coordinates are (1, 3),…

A: Given points are (1, 3) and (2, 16).