Final answer to the problem
$5x^{4}\mathrm{sinh}\left(x^5\right)$
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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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1
Taking the derivative of hyperbolic cosine
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(x^5\right)\mathrm{sinh}\left(x^5\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of cosh(x^5). Taking the derivative of hyperbolic cosine. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values 5 and -1.
Final answer to the problem
$5x^{4}\mathrm{sinh}\left(x^5\right)$
