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$derivdef\left(\frac{3}{5}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (3x)/(5x) using the definition. Simplify the fraction . Divide 3 by 5. Find the derivative of \frac{3}{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 \frac{3}{5}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{3}{5} and -\frac{3}{5}.