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Calculate the power $3^4$
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$derivdef\left(-1\cdot 81\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of -3^4 using the definition. Calculate the power 3^4. Multiply -1 times 81. Find the derivative of -81 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 -81. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 81 and -81.