Find the indicated derivatives. (a) 음 (e + log, (T) = dz %3D da

Q: Find the derivative of the function = etan(e) y' =

A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

Q: Find the derivative. y = e(lnx)2

A: dydx=ddx e(lnx)2        =e(lnx)2 ddx2(ln x)         =e(lnx)2 2x

Q: Find the 90th derivative of y = cos 2x. %D

A: dy/dx of cos2x=-2sin2x.

Q: Find the derivative of the following function. ​[ln(x^8)]3

A:

Q: find the indicated derivative. d/dx(x8)

A: Given; x8 To find the derivative of x8 Differentiate the given function x8 with respect to x we get,…

Q: Find the derivative of z=tan(e^-7w) dz/dw

A:

Q: Solve for the first, second, and third derivatives of y = 1/(4 + x) and then find a formula for its…

A:

Q: Find the derivative Of g(t)=ln(e^-t+2t)

A:

Q: find the second derivative of y=ln(e^x+e^-x)

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

Q: Find the derivative of the function.

A:

Q: What is the derivative of y e2x –1

A:

Q: Calculate the derivative of the following functions.

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

Q: find the indicated derivative. d/dx(x-3)

A: To solve ddx(x-3), separate the derivative and obtain ddxx-ddx3. ddx(x-3)=ddxx-ddx3

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

A: Explanation of the answer is as follows

Q: Find the derivative of the function f(x)=ln(10e^13x−7).

A: Note: Since you didn't use parenthesis while writing the function, there can be two possibilities…

Q: Find the first derivative for y = e

A: Given function is, y=e

Q: ア=e y =,

A:

Q: d. y = ار نے

A:

Q: find the derivative. y = ln(t5t )

A:

Q: Find the derivative. y = e(ln x)2

A:

Q: Find the derivative of the function y = log4 (6x + 1)

A: Given information: y=log46x+1 Log rule: logab=lnblna

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

A: Given,

Q: 13. g(x) = x Jax

A:

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

A:

Q: Find the derivatives of the functions defined as y = sin e4x

A: Given:y=sin e4x

Q: Find the second derivative, for y = tan () dy2

A:

Q: find the indicated derivative. dy/dx if y = x-4

A: The derivative of a function of the form  y=fx is a measure of rate at which the value y  changes…

Q: Calculate the derivative of the following function. y = log 11(x-11) d. dx log 11(x- 11) =

A:

Q: Find the derivative of the function. y = e In(7x)

A:

Q: Find the derivative of the function y = e2x tan 2x

A:

Q: find the derivatives of y=sin(ln|2x+1|)

A: y=sinln2x+1

Q: Find the derivative of the function. y= log 4- x

A:

Q: calculate the derivative of the following function. [ln(x^8)]^3

A:

Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: Find the derivative of the function y = log5 √(x2 − 1 )

A: Here given function as y=log5x2-1 or y=log x2-1log 5 The power rule for derivatives is expressed as…

Q: Find the derivative of each function of y = e5x

A: We have to find the derivative of the given functuon y=e5x

Q: Calculate the derivative of the following functions. y = sin2(e3x + 1)

A: Given functions y = sin2(e3x + 1) ddxsin2e3x+1=sin2ddxe3x+1=sin2ddxe3x+ddx1=sin2e3xddx3x+0=sin2e3x·…

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

A: Finding the derivative of the following function:

Q: find the derivative dy/dx of the functions xlny+ylnx=1

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Q: Find the derivative of the following function. y= -87x2 -9 dy 口 dx

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Q: Find the derivative of the function

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

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

Q: y = x'e**

A:

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

A:

Q: y" a ||

A: This is the problem of Autonomous Differential equations.

Q: y = e2x+1

A:

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

A: Topic - derivatives

Q: find the derivative of y with respect to the givenindependent variable.

A:

Q: 1.) Find the 30th derivative of y = e¯*

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…