Question

derivative of a^x please help​

Answer 1

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Answer 2

Answer:

a^x.ln(a)

Step-by-step explanation:

Let, y = a^x

Taking logarithm on bothsideboth side

ln(y)=x * ln(a)

Differentiating both side w.r.t. x

d/dx{ln(y)} =d/dx{x*ln(a)}

(1/y)dy/dx = x*0 + ln(a)*1=ln(a)

dy/dx = y*ln(a) = a^x * ln(a)