Wednesday, 13 January 2016

What is the second derivative of the function f(x)=2x^3+e^2x+sin 2x-lnx?

We have the
function f(x) =2x^3 + e^2x + sin 2x - ln x. We have to find f''(x).

f'(x) =
6x^2 + 2e^2x + 2 cos 2x - 1/x

f''(x) = 12x + 4e^2x - 4 sin 2x +
1/x^2

The required second derivative f(x) = 12x + 4e^2x - 4 sin
2x + 1/x^2

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