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- Find the derivative using the definition
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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Find the derivative of $\frac{1}{16}$ 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 $\frac{1}{16}$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
Learn how to solve definition of derivative problems step by step online.
$\lim_{h\to0}\left(\frac{\frac{1}{16}-\frac{1}{16}}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 4^x=1/16 using the definition. Find the derivative of \frac{1}{16} 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{1}{16}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{1}{16} and -\frac{1}{16}. Zero divided by anything is equal to zero. The limit of a constant is just the constant.