Define a function f(x)=2e^x-x^2+10.2x for all positive x. Denote f'(x) to be the derivative of f(x). What is the value of f'(0)?
Question
Solution 1
To find the derivative of the function f(x) = 2e^x - x^2 + 10.2x, we need to apply the rules of differentiation to each term separately.
The derivative of 2e^x is 2e^x, because the derivative of e^x is e^x.
The derivative of -x^2 is -2x, by the power rule of differentiation.
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