There are easier ways to find the derivative of a function, instead of using the definition of the derivative. To use these methods, you’ll have some “rules” to memorize.
If f(x) = c, f’(x) = 0
If f(x) = x n, where n is a rational number, then f’(x) = nx n-1.
If f(x) = cx n, then f’(x) = c(nx n – 1 ) OR just think of using the Power Rule, but you have to multiply the “c” value by the n value.
If f(x) = sinx, then f’(x) = cos x. If f(x) = cos x, then f’(x) = -sin x