Final answer to the problem
$640m^{9}-576n^{15}$
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Step-by-step Solution
How should I solve this problem?
- Find the derivative using the product rule
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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1
The derivative of a sum of two or more functions is the sum of the derivatives of each function
$\frac{d}{dn}\left(64m^{10}\right)+\frac{d}{dn}\left(-36n^{16}\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dn}\left(64m^{10}\right)+\frac{d}{dn}\left(-36n^{16}\right)$
Learn how to solve differential calculus problems step by step online. Factor the expression 64m^10-36n^16. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=64 and g=m^{10}. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-36 and g=n^{16}. The derivative of the constant function (64) is equal to zero.
Final answer to the problem
$640m^{9}-576n^{15}$
