Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

Q: 3.) y = log2 – 6·x³

A: Explanation: Given that,  y=log2(-6x3)

Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x

A: Given Data: Function: fx=x3+2xlnx The product rule of derivative is, ddxfx·gx=fxddxgx+gxddxfx Use…

Q: Find the derivative of the function. y = ln(2 − e5x)

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Q: Find the derivative of the function y = ln(tanh x/2)

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Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: Can you help me step by step?

A: Given function is

Q: Please I want solution of question 7 with step by step. Many Thanks

A:

Q: 3. Find the first derivative of y = (x² – 4x + 1)5. %3D

A: The given equation is y=x2-4x+15. Calculate the first derivative of the given equation. Here we use…

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

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Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

Q: 2) Find nth derivative of the following function f(x) = ex

A: Given query is to find the nth derivative of the expression.

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: 4. Find the derivative of the following function 1 y = xtanx + -

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Q: 13. Find the second derivative y “ of y = 5z2 +sinrcosz

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Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: 1. f(x) =In (ta n"x)

A: Given query is to find the first derivative of the expression.

Q: 7.) f (x)> (3x+2)(5x-2)

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Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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Q: find the derivative of y with respect to the givenindependent variable. y = 2(s2)

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Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

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Q: 1) Find the derivative of the function 2 + X y = arctan V 2 – x .Simplify where possible.

A: Answer and explanation is given below..

Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: 6. Find the second derivative, f"(x). (6) = f(x)

A: To find  The second derivative of f(x).

Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: 4) Find the third derivative of g(x) = e*.

A: We will solve the problem

Q: 3x y = .3 х +3x

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Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: 8) f(x)= T+x²

A:

Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: 5. Find the first derivative of y = (2x³ – 1)5 Vx² – 1

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

Q: 1) Find the derivative. Simplify where possible. y = x tanh-1x + In/1 – x²

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Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

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Q: 2. Find derivative of given function defined as follows 2x y = e = ²

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Q: 3 +Ve³ .2 3x e: f(x) =

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Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: c. Find second derivative implicitly for y + 2Re *y = 3R.

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Q: 11) Find the first derivative of y = (ln x)*

A: We have to find the first derivative of given function.

Q: find the derivative of y with respect to the givenindependent variable. y = log3 (1 + θ ln 3)

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Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

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Q: Find the 1st derivative of the function: y = 4(Vx + 1)5

A: Given that: y=4(x+1)5