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Multiply $27$ times $7$
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$derivdef\left(\frac{189}{2}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 100x=(27*7)/2 using the definition. Multiply 27 times 7. Divide 189 by 2. Find the derivative of \frac{189}{2} 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 \frac{189}{2}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{189}{2} and -\frac{189}{2}.