Find the derivatives y=(x^{5}-2)(4x+3)^{3}

Harlen Pritchard

Harlen Pritchard

Answered question

2021-09-17

Find the derivatives
y=(x52)(4x+3)3

Answer & Explanation

bahaistag

bahaistag

Skilled2021-09-18Added 100 answers

Step 1
The given function is
y=(x52)(4x+3)3
differentiate with respect to x
Step 2
dydx=ddx((x52)(4x+3)3)
dydx=((x52)ddx(4x+3)3+(4x+3)3ddx(x52))
(using ddxuv=uddxv+vddxu)
dydx=((x52)×3(4x+3)2ddx(4x+3)+(4x+3)3(5x40))
(using ddxxn=nxn1)
dydx=((x52)×3(4x+3)2×4+(4x+3)3(5x40))
dydx=12(x52)(4x+3)2+5x4(4x+3)3 (answer)

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