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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
Learn how to solve differential calculus problems step by step online.
$2\frac{d}{dx}\left(\sqrt{\cos\left(x\right)}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 2cos(x)^(1/2). The derivative of a function multiplied by a constant 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 \left(\frac{1}{2}\right)\cos\left(x\right)^{-\frac{1}{2}}\frac{d}{dx}\left(\cos\left(x\right)\right). The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x).