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Multiply $120$ times $-e$
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$derivdef\left(-326.1938194x+14ex\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 120*-ex+14*ex using the definition. Multiply 120 times -e. Multiply 14 times e. Combining like terms -326.1938194x and 38.0559456x. Find the derivative of -288.1378738x 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 -288.1378738x. Substituting f(x+h) and f(x) on the limit, we get.