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Calculate the power $4^2$
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$derivdef\left(-1\cdot 16\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of -4^2 using the definition. Calculate the power 4^2. Multiply -1 times 16. Find the derivative of -16 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is -16. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 16 and -16.