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Calculate the power $9^4$
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$derivdef\left(\frac{9}{16}\cdot 6561-\frac{3}{8}q^2+\frac{1}{16}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 9/169^4-3/8q^2+1/16 using the definition. Calculate the power 9^4. Multiply \frac{9}{16} times 6561. Add the values 3690.5625 and \frac{1}{16}. Find the derivative of 3690.625-\frac{3}{8}q^2 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 3690.625-\frac{3}{8}q^2. Substituting f(x+h) and f(x) on the limit, we get.