f(x) = -3 sin(x) cos(x)

Q: 1+sin 2 x 1) Find the derivative of f(x): 2 cos3 x

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: A-f cos (x)sin³(x)dx e*cosh (3x) B-J cosh(x)+sinh(x)

A: Here we use use substitution method to evaluate the given integral.

Q: Find the derivative of (b) f(x) = 2 tan-1(x) – 7x

A: Givenf(x)= 2 tan-1(x)-7x

Q: Find the derivative f(x)= (sin h^-1

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Q: Find the derivative of the function. f(x) = sin−1(6x)

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Q: Find the equation of the tangent line to the function f(x)=−3x2−2x at the point where x=1. Give your…

A: Here we find the equation of tangent line of the function fx=-3x2-2xat x =1

Q: sinx is the second derivative of what funtion? coS X h. -cos x sin x d. -sin x

A: -sinx is second derivative of what function?

Q: Find the derivative of the function by the limit process. Find an equation of the tangent line to…

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: Consider the given function. fx=5excos x

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Given equationy sin (16x) = x cos(2y)To find the equation of tangent line at π2, π4The slope of…

Q: Find the perpendicular distance between tangent line to the curve f(x) = ln(sin(x)) when it has a…

A: Given,f(x) = In (sin(x))To find prependicular distance between,tangent line to f(x) at slope = 3 (0…

Q: Tangent line of a graph of f(x)=x(b^x)at x=1 is equal to the tangent line for the graph of…

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Q: Find an equation of the tangent line at x = 0. y = x5 + cos(x) .13 (Use symbolic notation and…

A: We have given equation  y=x13+cosx Put x=0  y=0+cos(0)=1 Point on the curve x1,y1=0,1…

Q: Identify the equation of the tangent line of the function: f(x) = 3x at x=2

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Q: The derivative of cos (x²) Graph y = -2x sin (x²) for –2 < x < 3. Then, on the same screen, graph…

A: We draw the graph of y=-2x*sin(x^2) using graphing calculator

Q: 1+sin 2 x 1) Find the derivative of f(x) %3D 2 cos3 x

A: The given function is                                    y=f(x)=1+sin2x2cos3x…

Q: ∫(2 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

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Q: y=sin-1(x/x^2-1)x=3^1/2 find the equation of the tangent line

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Q: Use the h --> 0 definition of the derivative for each function f and value x=c for  f(x)= sin x,  x…

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Q: 3) Determine the derivative of f (x) = (2x)53*. 4) Determine the derivative of f (x) = sin…

A: 1. By using u.v rule 2. By using chain rule

Q: f(x)=−2x3+x2. Determine the equation of the tangent line at x=1.

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Q: the derivative of the function f (x) = arccos (1 / x)

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Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: Find an equation of the tangent line to the graph of the function at the given point. You must write…

A: y=5coshx-sinhx2,   0,5let 'm' be slope of tangent line.m=dydx=10coshx-sinhxsinhx-coshx

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point…

A: To find the equation of the tangent line we need slope of the line. To get the slope find the…

Q: 1+sin 2 x 1) Find the derivative of f(x) 2 cos3 x

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Q: Find the second derivative of the function. f(x) = x sin(x) f ''(x) =

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Q: Determine the equation of the tangent for f(x)=sinxcosx at x=π/3. Answers in exact value.

A: Equation of tangent is y-y1 =m(x-x1 )

Q: Find the equation of the tangent line to the graph at the indicated point. f(x)=x^2-1 ; x=8

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Q: sin x 2. Find the derivative of y = 3+2cos x

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Q: Find the relative extrema of the function f(x) = sin x sinh x − cos x cosh x, −4 ≤ x ≤ 4 . Use a…

A: The given function f(x) is in the interval

Q: dx (Cosx) = -sin(x) Example 39: Use delta method to find the derivative of tanx with respect to x.

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Q: Implicit differentiation to find dy /dx X' (X-8)²= x= y? |

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Q: Find the equation of the tangent line at x = 0 to the function f(x) = 2 sin(x) + cos(x)

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Q: sin(2 x) + 2 Find the function whose derivative is e 2cos x

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Q: Find the derivative y = (2 – x²) cos x + 2x · sinx 2 sin x – sin x (2 – x²) 2 cos x – sin x (2 – x²)…

A: Differentiate wrt x

Q: What is the equation of the tangent line to the function f(x) = 2 sin x + cos x at x = (Express…

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Q: )Find the anti derivative for sin(x^2) 2x

A: we have to find the anti derivative of ∫sinx22xdx...............1 first we put in place of x2 =z…

Q: F of X equals 3 sin X + cos 4X;(pi,1) Find the derivative and find the slope of the tangent line to…

A: Given:FX=3 sin X+cos 4X ; the point π,1

Q: Solve for derivative. y = (x + cos x) ( 1 - sin x)

A: Given          y = (x + cos x) ( 1 - sin x)

Q: (cos(2x) – sin(2x) cos(2x)) cos(x) – sin(x) For -dx%3D +C. What is F (x)?

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Q: Find an equation of the tangent line to the graph of y = f ( x ) at the point on the graph where x…

A: The slope of the tangent line of a graph y = f(x) at a point x0 is given by the derivative of…

Q: ( (cos (2x) – sin(2x) cos( 2x)) cos (x) – sin(x) For (x) +C. What is F (x)?

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Q: Find the x-coordinate of all points on the curve y = sin(2x) + 2 sin(x) at which the tangent line is…

A: Determine the derivative for y. y=sin2x+2sinxy'=ddxsin2x+2sinxy'=ddxsin2x+ddx2sinxy'=2cos2x+2cosx

Q: Use the fact that the derivative of the function f(x) =- is f'(x) = to find the equation of the…

A: We need to find the equation of tangent to the graph of f(x).

Q: Find the equation of the tangent line to the graph of the given function at the point with the…

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Q: The derivative of a function intervals is decreasing ? is given by f’ (x)=e^ sin x -cos x-1 for 0 <…

A: topic - decreasing intervals of a function f is decreasing on intervals where f'(x) is negative

Q: cos(2x)- sin(2x)cos(2x)) cos(x)- sin(x) dx = -F(x) + For C. What is F (x)? 3.

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