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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 $56\ln\left(5\right)$ 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 $56\ln\left(5\right)$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
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$\lim_{h\to0}\left(\frac{56\ln\left(5\right)-56\ln\left(5\right)}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 56ln(5) using the definition. Find the derivative of 56\ln\left(5\right) 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 56\ln\left(5\right). Substituting f(x+h) and f(x) on the limit, we get. Cancel like terms 56\ln\left(5\right) and -56\ln\left(5\right). Zero divided by anything is equal to zero. The limit of a constant is just the constant.