Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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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Divide $7$ by $3$
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$derivdef\left(\frac{7}{3}\ln\left(x\right)\right)$
Learn how to solve problems step by step online. Find the derivative of 7/3ln(x) using the definition. Divide 7 by 3. Find the derivative of \frac{7}{3}\ln\left(x\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 \frac{7}{3}\ln\left(x\right). Substituting f(x+h) and f(x) on the limit, we get. Factor the polynomial \frac{7}{3}\ln\left(x+h\right)-\frac{7}{3}\ln\left(x\right) by it's greatest common factor (GCF): \frac{7}{3}. The limit of the product of a function and a constant is equal to the limit of the function, times the constant: \displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}.