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Simplify the fraction $\frac{3x^2}{4x}$ by $x$
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$derivdef\left(\frac{3x}{4}\right)$
Learn how to solve problems step by step online. Find the derivative of (3x^2)/(4x) using the definition. Simplify the fraction \frac{3x^2}{4x} by x. Find the derivative of \frac{3x}{4} 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{3x}{4}. Substituting f(x+h) and f(x) on the limit, we get. Combine \frac{3\left(x+h\right)}{4}-\frac{3x}{4} in a single fraction. Divide fractions \frac{\frac{3\left(x+h\right)-3x}{4}}{h} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.