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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 the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if ${f(x) = \sin(x)}$, then ${f'(x) = \cos(x)\cdot D_x(x)}$
Learn how to solve power rule for derivatives problems step by step online.
$\frac{d}{dx}\left(\frac{x^2}{5}\right)\cos\left(\frac{x^2}{5}\right)$
Learn how to solve power rule for derivatives problems step by step online. Find the derivative of sin((x^2)/5). The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}. The derivative of a function multiplied by a constant (\frac{1}{5}) is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Multiply the fraction and term in 2\cdot \frac{1}{5}x\cos\left(\frac{x^2}{5}\right).
