Find the derivative of the following exponential functions: Write the solution of each number

Question

Find the derivative of the following exponential functions: Write the solution of each number

2.y = x²e-x

ans. y' = xe-x(2 - x)

3.f(z) = e²(sin z + cos z)

ans. f'(z)= 2ez cos z

Answer 1

y= x² e^-x

^{Using product of two functions}

dy/dx= x² ( - e^-x) + 2x ( e^-x) = x e^-x ( 2-x)

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