Final answer to the problem
$\frac{-6x^7}{\sqrt{1-x^2}}+42x^{6}\arccos\left(x\right)$
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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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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
$6\frac{d}{dx}\left(x^7\arccos\left(x\right)\right)$
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$6\frac{d}{dx}\left(x^7\arccos\left(x\right)\right)$
Learn how to solve problems step by step online. Find the derivative of arccos(x)6x^7. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\arccos\left(x\right) and g=x^7. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Taking the derivative of arccosine.
Final answer to the problem
$\frac{-6x^7}{\sqrt{1-x^2}}+42x^{6}\arccos\left(x\right)$
