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Find the derivative of $\frac{\arcsin\left(-\frac{7}{20}\right)}{314.1593}$ 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 $\frac{\arcsin\left(-\frac{7}{20}\right)}{314.1593}$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
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$\lim_{h\to0}\left(\frac{\frac{\arcsin\left(-\frac{7}{20}\right)}{314.1593}- \frac{\arcsin\left(-\frac{7}{20}\right)}{314.1593}}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x=arcsin(-7/20)/314.1593 using the definition. Find the derivative of \frac{\arcsin\left(-\frac{7}{20}\right)}{314.1593} 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{\arcsin\left(-\frac{7}{20}\right)}{314.1593}. Substituting f(x+h) and f(x) on the limit, we get. Combine \frac{\arcsin\left(-\frac{7}{20}\right)}{314.1593}- \frac{\arcsin\left(-\frac{7}{20}\right)}{314.1593} in a single fraction. Multiply -1 times 314.1593. Multiplying the fraction by -314.1593.