Question

if y=e^ax then dy/dx=ae^ax. But why?

Answer 1

if y=e^x.. then differentiation of this will be .. dy/dx=x.e^x ... here we are differentiating the equation ax+b. dy/dx=a.e^(ax+b). Answered by: E.

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Answer 2

Answer:

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Step-by-step explanation:

ANSWER ::

Let z = ax

Then

y = e^z

dy/dz = e^z

dz/dx = d/dx (ax) = a d/dx (x) = a

dy/dx = dy/dz × dz/dx = e^z × a = ae^z = ae^ax