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Multiply $4$ times $2$
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$derivdef\left(8r^{-3}r^2\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 4r^(-3)*2r^2 using the definition. Multiply 4 times 2. When multiplying exponents with same base we can add the exponents. Find the derivative of 8r^{-1} 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 8r^{-1}. Substituting f(x+h) and f(x) on the limit, we get. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.