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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Simplifying
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(-\ln\left(\left(x^4-5\right)^{4}\cos\left(x\right)^6\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ln(((x^4-5)^2)/(cos(x)^6(x^4-5)^6)). Simplifying. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. 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}. Multiplying the fraction by -1.