Find the derivative of the function y = 0.5 In (e +1).

Q: Find the derivative of the exponential function. Y = x'e-5x dy dx

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Q: Find the derivative of function.

A: To find the derivative of the given function                                                y=log…

Q: Find the derivative of the function y = e√x

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Q: Find the derivative of the function.

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

Q: B) Find the third derivative of the function: Y = +VX

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Q: F(2) = [*e*ax e' dt

A: We have to find derivative

Q: Find the derivative of the function.

A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx

Q: Find the derivative of the function

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Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x.

Q: Find the derivative of the function.

A: Consider the provided function, ht=t2t3+22 Find the derivative of the function. Apply the chain rule…

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

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Q: Find the derivative of the function.

A: The given function is y=xx4+4.

Q: Find the derivative of the following function. fy) = e Yy" .....

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Q: Calculate the derivative of the following functions.

A: y=1-e-0.05x-1

Q: Find the first derivative of the function (xy)* = e.

A: Explanation of the answer is as follows

Q: Find the first derivative for y = e

A: Given function is, y=e

Q: ア=e y =,

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Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: Find the derivative of the function.

A: Given: f(x)=log2x2x-1

Q: what is the derivative to y= e^-1?

A: Given,

Q: Find the derivative of the function

A:

Q: Find the derivative of the function.

A: Given function is y=2ex+e-x Chain rule of differentiation states that: ddxfgx=f'gx g'x…

Q: Find the derivative of the function. s(e) = VE-5E f '(x) =

A: The given function is: fx=x-5x3 The objective is to find the derivative of the function i.e., f'x.

Q: find the derivative of y with respect to the givenindependent variable. y = log2 r . log4r

A: Recall the properties of logarithms:

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

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Q: What is the first derivative of the function h(t) = t/2t – 3

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Q: Find the derivative of the function g(t) = (e−t + et)3

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Q: The derivative of the function y = x² In(x + 1) is:

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Q: Find the derivative of the function. y = ln(x√x2 − 1 )

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Q: Find the derivative of the function y = e5x

A: To find the derivative of the function y=e5x

Q: Find the derivative of the function f(x) = 9e6 + e_™". f'(x) =

A: To find the derivative of the following function

Q: Find the derivative of h(x) = e³ + Vx + lnx. I

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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. h(t) = 1 2 dt

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

Q: Find the third derivative of the function : y = Vx

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Q: Find the derivative of the function. g(t) = ln t/t2

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

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Q: Find the derivative of f(t) = e+1

A: Given :

Q: h(t) = (e" +2)

A: given that h(t)=(e3t+2)5  So h'(t) = d/dt (e3t+2)5  h'(t) = 5(e3t+2)4 [d/dt (e3t+2)]  h'(t)= 15e3t…

Q: Find the derivative of the following function. f(z) = (4z+ e -)*

A: As we know that ddxex=ex [ common derivative]ddxe-z2 =-2e-z2 .z

Q: Find the derivative of the following functions. (x² + 5° e 2x a. y = In(-

A: Differentiation is given below

Q: Find the derivative of F(x) = t°e' ln tdt.

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Q: Find the derivative of the function. g(t) = t2 ln(e2t + 9)

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Q: Find the derivative of the function. x11 + 2 y = e y' =

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Q: What is the second derivative of 大 S(e) = e*?

A: the given function is f(x)=ex2

Q: Find the derivative of the function.

A: Given- gx=∫1cosx1-t23dt To find- The derivative of the above function. Concept Used- Using the…

Q: y = x'e**

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Q: Find the derivative of the function. y = In) x +6. (a)"* g(x) = log,(x) 9'(x) = (b) y = x5x + 2 (c)

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Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

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Q: Find the derivative of the function.

A: Here given function  y=ex-1ex+1