Question

Differentiate the following to find
dy/dx 1. x=4^x.x^2​

Answer 1

Answer:

= 4^ x (x² ln(4) + 2x)

Step-by-step explanation:

X = 4^x . x²

(Using product rule)

Dy/dx = x² (d/ dx 4^ x) + 4^ x( d/ dx x²)

= x² (4^ x ln(4) + 4^ x (2x)

= 4^ x (x² ln(4) + 2x)

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Derivatives used

D/ dx (a^ x) = a ^ x ln (a)

[ a is some constant]

D/ dx ( x²) = 2x

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Hope this helps!