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Multiply $4$ times $0$
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$derivdef\left(5\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 5y=5+4*0 using the definition. Multiply 4 times 0. Find the derivative of 5 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 5. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 5 and -5. Zero divided by anything is equal to zero.