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Simplify the fraction $\frac{\frac{4a}{3x}}{\frac{3a}{4x}}$
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$derivdef\left(\frac{16}{9}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of ((4a)/(3x))/((3a)/(4x)) using the definition. Simplify the fraction \frac{\frac{4a}{3x}}{\frac{3a}{4x}}. Find the derivative of \frac{16}{9} 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{16}{9}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{16}{9} and -\frac{16}{9}. Zero divided by anything is equal to zero.