Find the equation of the line tangent to the function ?(?)= 1−?^2 at the point (1,0) Write your answer in slope-intercept form.

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

A:

Q: 7. уз y =/x³ – 1/1+ vx

A:

Q: Find an equation of the tangent line at the given point.…

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: Find the equation of the tangent line to the graph of x4 y2 = 144 at the point (2, 3) and at the…

A: Equation of the tangent line to the graph of x4y2=144 at the point (2, 3) Now, differentiate the…

Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: Please find the equation of the tangent to f(x) =2* at the point (3,8)

A:

Q: Find the equation of a curve whose tangent line has slope 2x – 5 and the curve passes through the…

A:

Q: What is the slope of the tangent line to the graph of the solution of y' = 6√y + 7x³ that passes…

A:

Q: What is the value of the slope of the tangent line to the curve X-– 2xy - 2y=1 passing through the…

A: GIVEN CURVE : x2 - 2xy - 2y2 = 1             POINT : ( -3 , -1) TO FIND : SLOPE OF THE TANGENT TO…

Q: Describe the two methods that help to differentiate the equations implicitly, and find the…

A: The two methods that help to differentiate the equation implicitly and derivative…

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 Equation of tangent line of the function

A: Since the curve is not given on the question so i have taken a general curve and a general point

Q: Write the equation of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: To find the equation of the tangent line to the curve y=x3+3x-8 at (2,6). Solution: We know, The…

Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: Use the definition of the derivative to find the slope of the tangent line to the curve y= 3x^2 - 9x…

A: We have to find the equation of the tangent of the curve y=3x2-9x at the point (2, -6)

Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Topic:- derivatives

Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: What is the slope of the tangent line through the point (2, f (2)) if f '(x) = x3?

A:

Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

A:

Q: Find an equation of the line tangent to the curve defined by " + 5xy +y = 68 point (2, 2) at the

A:

Q: find the equation of the tangent line to the curve  8x2y3-5x2+7y3 = 10(x-3y) , at point (2,-2)

A:

Q: Help to find the equation of the line tangent to the curve y = 6 / x when x = 3.

A: Given curve is y=6x When x=3 then y=63=2 So, point is (3,2) Equation of tangent line at any point…

Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

A:

Q: Write the equation of the tangent line to the graph of  y = (8x2 − 6x + 2)(1 + 2x) at x = 1. Check…

A: the equation of the tangent line to the graph of, y=(8x2−6x+2)(1+2x) at x=1   y=(812−61+2)(1+21)…

Q: Find the derivative of the equation. Show complete solution

A: The derivative of a function defines the rate of change of function with respect to one of its…

Q: where x = 6.

A:

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

A: Given: f(x)=10x-x2

Q: What is the slope of the tangent line to the graph of y x*-3x +x +2 at x-2? What is the y-coordinate…

A:

Q: Determine the equation of the line tangent to the graph of f ( x ) = 3 x 2 − x + 4 at x = − 1.  Give…

A:

Q: one leg of a right triangle is 1 in/min and the other leg increases 2 inches per min. What is the…

A: Let the first leg of the right triangle be a and the other leg be b. Let the hypotenuse of the right…

Q: Write an equation of the tangent line to the curve x2+y2-25=0 at the point (3,4).

A:

Q: What is the slope-intercept form of the equation of the tangent line to y=x²+2x at x=0?

A: At x = 0, y = 0+0 =0  So, the tangent line passes through (0,0) .

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

A:

Q: Determine the equation of the line tangent to the curve square root(xy)=x-2y  at point (4,1)

A:

Q: Find the slope and an equation of the tangent line to th 3 2 3. f(x) = + 8x + 8; (-1, 21 slope 11…

A: Recall: Point-slope intercept form :  y-y1 =m x-x1 where , 'm=dydx' is the slope and x1,y1 are given…

Q: Solve using applications of the derivative

A: Given problem is :

Q: What is the slope of the line tangent to the curve 8x3-y2=4

A:

Q: What is the value of the slope of the tangent line to the curve y = 2x2 + x – 3 at the point…

A: Given :-  y = 2x2+x-3 To find:- slope of tangent line at (-1, -2)  METHOD:- Slope of tangent =dy/dx

Q: What is the equation of the tangent line of the function y = 2 + x² at point (3, -2)?

A: y=2+x2

Q: find an equation of the tangent line that passes through y=x^3+x+4 at (-(2,-6)

A:

Q: us to find the derivative of x) = Vt3 + 27dt -3

A:

Q: What is the equation of the tangent line to y=−2x^3−x^2+4x+3 at x=3? Write the tangent line in…

A: We have to find the equation of tangent line.

Q: What is the value of the slope of the tangent line to the curve y = 2x² + x – 3 at the point (–1,…

A:

Q: The slope of the line tangent to the curve y=2x- 3 at point (1,-1) is 5

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…

Q: Find the slope and equation of the tangent line to the curve y = x2 – 4x + 5 at (2,-3)

A: Given curve is : y = x2-4x+5 We have to find slope and equation of tangent line to given curve at…

Q: Determine the equation of the line tangent to the graph of y 5 when x = 9. 2+ Va

A: Given Data The equation is y=52+x. The value of x is x9=9.   Differentiate the equation y=52+x with…