how would you find F'(x)? and what is the procedure to find F''(x)?

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and…

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

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Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

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Q: Find the derivative of f(x) = 3x° cos(x). 8 CoS f'(x)

A: Given query is to find the derivative of the function.

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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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: ind the derivative of f(x) = 2x/√x+1

A: Explanation:Given that  f(x)=2xx+1     Formula Used:fg'=f'g-fg'g2

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

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Q: Find the derivative of the inverse function to f(x)=ex-e-x

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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 the derivative of the function by the Logarithmic differentiation method.   y=(cos(x))ln(x)

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Q: 1. Find the first derivative by using the definition for f(x) = 3x² – 2x – 5, hence - find f'(-2)

A: Derivative of a function is ratio of difference in output and difference in input.

Q: Find the second derivative of the function f(x)= x^4 x sec(x)

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Q: Find the derivative of f(x) = 2(x² + 3x) cos(sin(x³)).

A: I have used product re and derived of composition of two function

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

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Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

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Q: what is the differentiate of f(x)=ln x

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Q: S(x)= Jx-5

A: given that f(x)=1x-5 find the derivative from first principle f'x=limh→0 fx+h-fxh

Q: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: 2.Find the derivative of y = In cosh x. %3D

A: Using chain rule of differentiation.

Q: 3. Find the derivative of f (x) tan (5x + 7), by first principle of differentiation

A: Given function is By first principle of differentiation, we have

Q: sinx 3. f(x)=(x)*

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Q: Find the second derivative of f(x) = sin(3x) - cos(2x)

A: We have to find second derivative of  f(x) = sin(3x) - cos(2x)  Then   First derivative of f(x) is…

Q: Find the derivative of the function. f(x) = x6 ln(x)

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Q: Find the first derivative of the function of f(x) using any method?

A: Given,

Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: what is the derivative of f(x)=ln(tanhx)

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Q: Find the derivative of f(x)=(−x^3−6x^2−6x)sin(x).

A: See the attachment

Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

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Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: Compute the derivative ln(ex+1) / 2x+1

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Q: How do I find the 20th derivative of f(x)=(2cos x)(cos 3x)? I think there must be some trick because…

A: Given:

Q: f(x) = 3 sin 1 (x²)

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Q: Find the derivative of f ( x ) = 6 sin ^2 ⁡( x ) + 6 cos^2 ⁡( x ) at x = -6.5

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Q: Find the derivative of the function 3- y = e- sin 3x 4- y csc- (x2 + 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: x² q(x) =- sin(x)

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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: 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: find the derivative of f(x)=sec(x^4)ln(9x-8)

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Q: Find the derivative. f(x) = tanh(2 + e4x) f '(x)

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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: 8) Find the first derivative of f (x) = sin 2 (x3).

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Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…

Q: Find the derivative of f(x) = x/ln (x)

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Q: How would you find the 54th derivative of sin(x)? What is the pattern that occurs to allow you to…

A: Consider the function