Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\log \left(x-1\right)\right)+\frac{d}{dx}\left(3\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of log(x+1)=log(x+-1)+3. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (3) is equal to zero. We can find the derivative of a logarithm of any base using the change of base formula. Before deriving, we must pass the logarithm to base e: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. The derivative of a function multiplied by a constant (\frac{1}{\ln\left(10\right)}) is equal to the constant times the derivative of the function.