Final answer to the problem
Step-by-step Solution
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- Choose an option
- 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 sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(3\ln\left(2x-7\right)\right)+\frac{d}{dx}\left(\sin\left(x\right)^{\cos\left(x\right)}\ln\left(\sin\left(x\right)\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(3ln(2x-7)+sin(x)^cos(x)ln(sin(x))) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sin\left(x\right)^{\cos\left(x\right)} and g=\ln\left(\sin\left(x\right)\right). The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}.
