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

Q: Find the derivative of the function y= 6e 4x 3x+4 The derivative is

A: Please refer the attached image for complete solution.

Q: Find the derivative of the function y=x2−5x.

A: We differentiate both sides with respect to x.

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

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Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

Q: use the Chain Rule to find the derivative. y = (t2 + 3t + 1)−5/2

A: Given: y=t2+3t+1-52 Let, t2+3t+1=u Then, by using the chain rule dydt can be found out as,…

Q: Use the Chain Rule to find the derivative. y = (t2 + 3t + 1) -5/2

A: Here given y = (t2 + 3t + 1) -5/2

Q: Find the y ( the fifth derivative ) of y =D x5

A: y=2x5⇒y=2x-5 Differentiating with respect to x, we get y'=2-5x-6     ∵dxndx=nxn-1=-10x-6 Again…

Q: use the Chain Rule to find the derivative. y = (x4 − x3 − 1)2/3

A: y = (x4 − x3 − 1)2/3 derivative formula ddxxn=nxn-1

Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t. = 4ø, t= ¢'/2 S dR dø…

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

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Q: Find the derivative of the function y=ax+ba+b, where a and b are constants.

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Q: Find the derivative of the function. 9х - 1 y3= x2 + 7x y' = D

A: Given: y=9x-1x2+7x Quotient rule for derivative: ddxuv=v u'-u v'v2

Q: Find the derivative of the function.

A: We have to find the derivative of the given function   The given function is

Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

Q: Find the derivative. y = Vx2 + 1

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Q: Find the derivative of the function. y = V 3 + 8e6x

A: To find the derivative of given function.

Q: Find the derivative of the function. G(y) =Y - 1)5 (y2 + 2y)º

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Q: Find the derivative of the function. y = x?e* – 2xe* + 4e* y' =

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Q: QW) = ? + y3 3.

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Q: Find the second derivative of the function F(t) = 5tsin(r³).

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Q: Find the derivative of the function. y = (x + 1)2ex

A: The given function is y=x+12ex

Q: Find the derivative of the function g(x) = (2a? – x + 5)e"

A: Our Aim is to find the derivative of (2x2-x+5)ex.

Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t"; s = 7¢, t 2 dR %3D do

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Q: use the Chain Rule to find the derivative. y = e2x2

A: To find the derivative of y=e2x2 using chain rule. Solution: Chain rule of differentiation states…

Q: .Find the derivative of the function: y =x² +8sin .

A: To find the derivative of y.

Q: Use the chain rule to find the derivative of f(x) = 4e7#10 – 7æ° f'(x) %3D

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

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Q: Find the derivative. y= e9x/e9x+4

A: detailed solution is given below

Q: Find the derivative of the function. y = x2 √(16 − x2)

A: Given:y=x2 16-x2Product of differentiation  formula:ddxuv=uv'+vu'

Q: Use the Chain Rule to find the derivative.

A: Given expression

Q: Evaluate the derivative of the function at the given point. t= -2 8t+3'

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Q: Use the Chain Rule to find the derivative of the function. y = (x3 + 8x?)-1 y' =

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Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: Find the derivative of the linear fractional function y=ax+bcx+d.

A: We have to find the derivative of    y=ax+bcx+d ddxy=ddxax+bcx+dWe have to apply division rule…

Q: Use the Chain Rule to find the derivative. y = (x4 − x3 − 1)2/3

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Q: Find the derivative of the function. 4х-7 y = X +5x y' = D

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Q: Use an appropriate form of the chain rule to find the derivative. R= e5s-t. s = 80, t= ¢!/2 %3D dR…

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Q: Find the derivative of the function. 1 s(t) 2+ 6t - 5 s'(t) =

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Q: Find the derivative of the function. y = 1/(x2 + 5)3

A: Solution:- The given function is  y=1(x2+5)3

Q: A) find the 1000th derivative of the function: y = xe¬x.

A: Find derivative

Q: Find the derivative of the function y = 3e^(13t-15)

A: Calculation:

Q: Find the derivative of the function. y = x²√√√49 - x² V y' =

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Q: Find the derivative of the function. -2 y 14x-6x-9x dy dx

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Q: Find the derivative of the function y= 5,3x 2x+3 The derivative is

A: Topic -derivative

Q: Find the derivative of the function. y = x?/25 - x2

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Q: Find the derivatives of the functions y = x2e-2/x

A: Given: y=x2e-2/x Formula Used: f.g'=f'.g+f.g'

Q: Find the derivative of the function.   y=3e^8t+3

A: Given function;   Taking the first derivative;

Q: Find the derivative of the function q=14r-

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Q: Find the derivative of the function. 4x° +8 y = y' =O

A: We have to find