Find the derivative of the function. y=4xe^{-4x}+4e^{x^{4}}

Alyce Wilkinson

Alyce Wilkinson

Answered question

2021-05-30

Find the derivative of the function. y=4xe4x+4ex4

Answer & Explanation

tabuordy

tabuordy

Skilled2021-05-31Added 90 answers

Step 1
Just use basic formulae of derivatives.
Step 2
y=4xe4x+4ex4
differentiating with respect to x,
dydx=ddx[4xe4x+4ex4]
=4ddx[xe4x]+4ddx[ex4]
=4[x(4e4x)+e4x(1)]+4(ex4)ddx(x4)
=4[4xe4x+e4x]+4ex4(4x3)
dydx=16xe4x+4e4x+16x3ex4
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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