Let f(x) = (In(x))ec(@), Find f'(x).

Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: Find the derivative of the function. Simplify where possible. f(x)   = x In(arctan x)

A: Given: The above function contains two functions, so the product rule is used to differentiate.

Q: Find the 7th derivative of: f(x)=sin(x)cos(x) f’=? • • •

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Q: 14. If x2 + y2 13, find at (2, 3). dx2 %3D

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Q: 5 + 4 dx

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Q: Consider the function f(x)  whose second derivative is f"(x) = 10x+4sin(x) . If f(0)=2  and f'(0)=3…

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Q: what is the derivative of y=ex /(x2 + 15) Please show steps

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Q: sin

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Q: Find the derivative of the function. f(x) = sin(x) cos(5 – x²) f'(x) =

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Q: What is the second derivative of f(x)=6x^4 at the point x=−2?

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Q: What is the derivative of f (x) = cosh(x) + sinh(x)?

A: Given that f(x)=cosh(x)+sinh(x) find the derivative of f(x)

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: Find the second derivative of the function 2 f(x) = sin (3x). Show your work.

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Q: Find fifth order derivative of the function f(x) = x*Sin (2x +1) by using Leibnitz theorem.

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Q: What is the derivative of f(x)=3cos(x)+2sin(x) at the point x=−π

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Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: 13. f(x) = e* In x

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Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

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Q: Find the derivative of the function. f(x) = V4 +x sin x 4+x sin x = dx

A: Derivative of the function is given below

Q: What is the anti derivative of  f(x)= 2sin(x)-sec2(x)

A: Given information

Q: Consider the function f(x) whose second derivative is f''(x)=5x+3sin(x) If f(0)=2 and f'(0)=3 what…

A: Given : f''x = 5x + 3sinx

Q: Estimate the derivative of f(x) = sin x at x = π/6.

A: Given,       f(x) = sin x at x=π6

Q: Find the derivative of the function f(x) = arctan ex

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

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Q: What is the derivative of f(x) g(x) in terms of f and g? Compute the derivative of -sin(x) · 2x=1…

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

Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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Q: Find the second derivative of the function.

A: Find the second derivative of the function.           f(x)=x sinx

Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: What is the derivative of f(x)=−cos(x)+4sin(x) at the point x=−π/2?

A: We will find the derivative as following.

Q: Integrate xtanx with respect to x

A: We have to solve this integral by  Integration by parts rule, Formula is  ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: What is the derivative of f(x)=2sin(x) at the point x=−π/2?

A: To find the derivative of fx=2 sinx, at the point x=-π2.

Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: Find the derivative of the function. f(x) = In(sinh(x)) %3D f '(x) = %3D

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Q: f(x) = x*Inx

A: TO FIND 5th order derivative f(x) = x4 lnx FORMULA USED  BIPART PRODUCT RULE OF DIFFERENTIATION…

Q: 2. tanh-'x + lny1 – x²

A: We have to find derivative

Q: f(x) = 3 sin 1 (x²)

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Q: f(x)= sinx/cos x+1

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Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

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Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) f'(x) =

A: Given problem is :

Q: What is the derivative of the function  x^8(ln(x))?

A: To find the derivative of the function x8(ln(x)) as follows.Redefine the function as follows.

Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

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Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: What is the derivative of: 4 ln(sec y + tan y) − 2x − sin 2x = 1

A: Given: 4 lnsec y+tan y-2x-sin 2x=1 To Find: dydx=?

Q: Find the derivative of f(x)= 11x^2 at x=1 please use definition of derivative formula

A: Given :   y = 11x2    at x =1

Q: Obtain the first derivative of the function f (x) = sinx/x using Richardson's extrapolation with h =…

A: Given  f(x) = sinxx we have to obtained the first derivative of f(x) by using  Richardson's…

Q: Consider the function f(x) whose second derivative is f''(x)=2x+7sin(x). If f(0)=3 and f'(0)=3, what…

A: to find f'(x) integrate the given function c=integrating constant. Then plug x=0 and f'(0)=3 and…

Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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