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Step-by-step Solution
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- 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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Taking the derivative of hyperbolic cosine
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(-3\ln\left(x\right)\right)\mathrm{sinh}\left(-3\ln\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of cosh(-3ln(x)). Taking the derivative of hyperbolic cosine. 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}. Multiply the fraction by the term .