y = (1 – e")4

Q: Find derivative of the following function. 5x -5x y%3D dy

A:

Q: Use the Chain Rule to find the derivative. y = sec 1/X

A: Differentiate: y=sec 1x. Apply chain rule: dydx=dydu·dudx Let u=1x dydx=dsec 1xd1x·d1xdx

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: Use the Chain Rule to find the derivative. y = sin(x2)

A:

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: y=57x3+1-3

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: use the Chain Rule to find the derivative. y = cos3(e4θ )

A: Given: The function given is  y=cos3(e4θ)   To determine: The derivative of the function y=cos3(e4θ)…

Q: Find the derivative of the function.

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

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

A: Given y=ln(e7x+5)

Q: use the Chain Rule to find the derivative. y = cos3(12θ)

A: Here given as y=cos312θ

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

A:

Q: Y = c 2.

A: The product rule of differentiation is given by the following expression:- ddx(uv)=udvdx+vdudx The…

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 =,

A:

Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

Q: Find derivatives of the function defined as follows. y = e-8x

A: We have to find derivatives of the function: y=e-8x We know the formula of derivatives,…

Q: Use the Chain Rule to find the derivative. y = cos3(e4θ )

A: We have given y=cos3e4θ Then, dydθ=dcos3e4θdθ=3cos2e4θ-sine4θ4e4θ=-12e4θsine4θcos2e4θ

Q: Find the derivatives of the following functions using CHAIN RULE. y=(5x + 1)2

A:

Q: Find the derivative of the following function.: y=ln(x2+4)2π

A: The given function is,

Q: Find the derivative. y = In /x+7 y' = D

A:

Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y =…

A: Given : The function is y = cos ( x3 ) .

Q: Use the Chain Rule to find the derivative. y = cos3(12θ)

A: Given function is y=cos312θ. To find the derivative of the given function using chain rule.…

Q: Use the chain rule to find the derivative of 2e9z7 Use e^x for e".

A:

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Using the quotient rule.The formula is-ddt[f(t)g(t)]=g(t)ddtf(t)-f(t)ddtg(t)[g(t)]2…

Q: Use the Chain Rule to find the derivative of the function. y = (x + Sx?)-1

A: Derivative of function

Q: Use the Chain Rule to find the derivative. y = √(t2 + 9)

A:

Q: Find the Derivative of each function

A: The given function is: Py=lnyey This can be written as: Py=e-y lny  To differentiate this, apply the…

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Given: y=xx+15 To Find: The derivative of the given function

Q: Find the derivative of the function. y = cos(a + x*) У (x) %3

A:

Q: 9. Find the derivative of the function using chain rule. f(t) = 3t In t

A: To find the derivative of the function

Q: Find the derivative. y = In /x+5 y' =D

A:

Q: Use the Chain rule with other differentiation rules to find the derivative of the following…

A:

Q: Find the derivative of the following: 1. y=x(VT- x³)

A:

Q: Find the given flx), + 2x derivative of function. %3D a+x

A:

Q: Find the derivative of the following function. 8x e y= In 4x y'=

A:

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

A:

Q: Calculate the derivative of the following functions. y = etan t

A:

Q: y = V5х+7

A:

Q: zチー1 メニ」t

A:

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: Q10) use the Chain Rule to find the derivative of w- xy With respect to t along the path x-cost,…

A: w=xy  x=cos t , y=sin t

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

A: Differentiation is given below

Q: Find derivatives of the functions defined as follows: y = e-2x

A: The derivative of the function ex is ddxex=ex. Find the derivative of the function y=e-2x using…

Q: Find the first derivative of the following implicit function: X² + 3xy + y² = 4

A: Given : x2+3xy+y2=4 Lets take first derivative  Take derivative with respect to x. apply the power…

Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: find the derivative of the given function y^4=4xy using implicit differentation

A:

Q: Use the Chain Rule to find the derivative. y = tan(θ + cos θ)

A:

Q: Use the chain rule to find the derivative of the function z = 2a*y³ – xy? along the curve given by x…

A: