Final answer to the problem
$\frac{\left(48x^2-256-12x-2\left(\left(16x-6\right)x+8x^2-6x+11\right)\right)\left(x^2-16\right)^2-4\left(16x\left(x^2-16\right)-6x^2+96-2\left(8x^2-6x+11\right)x\right)\left(x^2-16\right)x}{\left(x^2-16\right)^{4}}$
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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
Find the ($1$) derivative
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$\frac{16x\left(x^2-16\right)-6x^2+96-2\left(8x^2-6x+11\right)x}{\left(x^2-16\right)^2}$
Learn how to solve differential calculus problems step by step online. Find the higher order (2) derivative of (8x^2-6x+11)/(x^2-16). Find the (1) derivative. Find the (2) derivative.
Final answer to the problem
$\frac{\left(48x^2-256-12x-2\left(\left(16x-6\right)x+8x^2-6x+11\right)\right)\left(x^2-16\right)^2-4\left(16x\left(x^2-16\right)-6x^2+96-2\left(8x^2-6x+11\right)x\right)\left(x^2-16\right)x}{\left(x^2-16\right)^{4}}$
