Find the second derivative of the function. f(x) = e-x3/3

Q: find the n-th derivative of f(x). f(x)=e^-2x

A: Given function is fx=e-2x. Chain rule of differentiation states that: ddxfgx=f'gxg'x Now, we find…

Q: Find the derivative of the function.

A: We are given with the function g(x) and need to find the derivatives

Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: Find the first derivative of each function.   f(x)=e^-2x - x ln x+ x-7

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Q: Find the derivative of the function g(x)=e^x/3−5x g'(x)=

A: Apply rule of u/v.

Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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Q: Find the derivative of the function y = √(e2x + e−2x)

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Q: Find the derivative of the function. y = In(e7x + 5)

A: Given y=ln(e7x+5)

Q: Find the derivative of the function. g(x) = e¯x + 3e2x – 1e-x + 17

A: Use the property for the exponents to simplify the function g(x).

Q: Find the derivative of the function. y = e-2x sin x

A: The derivative of the product of two functions f(x) and g(x) can be determined using the product…

Q: Find the derivative of the function

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Q: Find the derivative of the function. 1 + e5x e 5x 3x e

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Q: Find the first derivative of: x = t²e2t

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Q: compute a formula for the nth derivative of f(x)=e2x

A: We have givenWe have to find a formula for nth derivative of f(x)

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Given, f(x)=9x3+1x On differentiating both sides w.r.t x we get:…

Q: Find the derivative of the function. 8x -8x y = -8x Bx + e -&x 8e&_ 8e

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Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: find the derivative of ln(3x^2+e^x)

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Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: Find the derivative of the function. y = e-9/x

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Q: h(x) = e(-1/2)x

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

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Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

Q: calculate the derivative. g(x) = e2

A: We know that the derivative of a constant is zero. This result is used to prove the given statement.

Q: Find the derivative of the function. h(x) = e2x2 - 7x + 3/x %D h'(x) = ||

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Q: Find the SECOND derivative of the given function. (b) g(x) = x+2

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Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: Find the third derivative of the function y=e2xlnx.

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

A: We will solve the problem

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: Find the derivative of the function.

A: To find derivative of the function y=e2xe2x+1. Solution: Quotient rule of differentiation states…

Q: f(x) e3x+1 lnx³

A: Here we have two functions in the right hand side. That is f(x) is the product of two functions. So…

Q: Find the derivative of the function. g(x) = 500(5 – e-0.1x)

A: Given,           g(x)=5005-e-0.1x

Q: Find the derivative of the function y = log3(x2 − 3x)

A: Consider the following: y=log3x2−3xDifferentiate w.r.t.…

Q: Find the derivative of g(x) = ln(2x + 5)

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Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

Q: Find the derivative of f (a) = e" (x² + 2).

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Q: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

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Q: The derivative of the function y = e¯- is

A: Finding the derivative of the following function:

Q: Find the derivative of the function g(x) = ln √2x

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Q: Find the derivative of the function. y = 4x e -2x – 4 e x5

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Q: (b). Find the second derivative. y=x²-5vx

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Q: Find the derivative of the function. f(x) = ln x/(x2 + 1)

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Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: Find the derivative of the function g(x)=e^x/2−4x g'(x)=

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

Q: Find the derivative of f(x)=

A: We use the quotient rule of logarithm to simplify the expression

Q: Calculate the derivative. g(x) = e2

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Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

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Q: Find the derivative of the function. - 12 y3= dx

A: Topic - derivatives