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Find the derivative of . Possible Answers: Correct answer: Explanation: This uses the simple Exponential Rule of derivatives. Mutiply by the value of the exponent to the function, then subtract 1 from the old exponent to make the new exponent. The formula is as follows: . Using our function,How to calculate a basic derivative of a function?
f' (x) = lim (f (x+h) - f (x))/h. With the limit being the limit for h goes to 0. Finding the derivative of a function is called differentiation. Basically, what you do is calculate the slope of the line that goes through f at the points x and x+h. Because we take the limit for h to 0, these points will lie infinitesimally close together; and therefore, it is the slope of the function in the point x.