Find the derivative of e^2x.
Compute the derivative:
Suppose that f and g are two functions, then the chain rule states that,
ddxf(g(x))=f'(g(x))×ddx[g(x)]ddxf(g(x))=f'(g(x))×[g'(x)]
So we can find the derivative as
ddxe2x=ddx(e2x)×ddx2x=2e2x
Hence, the required derivative is 2e2x.
Find the integral of the given function w.r.t - x
y=e2x+1x2