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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 power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$7\arccos\left(\frac{2}{x}\right)^{6}\frac{d}{dx}\left(\arccos\left(\frac{2}{x}\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of arccos(2/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. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. Multiplying fractions \frac{-1}{\sqrt{1-\left(\frac{2}{x}\right)^2}} \times \frac{7\left(\frac{d}{dx}\left(2\right)x-2\frac{d}{dx}\left(x\right)\right)}{x^2}.
