f(x) = 2xe^-x
Apply the product rule.
f'(x) = 2 e^-x + 2x e^-x ( -1)
f'(x) = 2 e^-x - 2xe^-x
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You will find several formulae in the Wikipedia article on "derivative".
The purpose of finding a derivative is to find the instantaneous rate of change. In addition, taking the derivative is used in integration by parts.
2 x 2 = 4. 4 is a constant. The derivative of a constant is always 0. Therefore, The derivative of 2 x 2 is zero.
we have to find out dy/dx of sinx0 ----
Chain Rule Definition: Use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. I am not the best in calculus so you might want to check out some chain rule example videos from the links.