Final answer to the problem
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
Learn how to solve basic differentiation rules problems step by step online.
$4\frac{d}{dx}\left(\cos\left(\frac{1}{2}x\right)\right)$
Learn how to solve basic differentiation rules problems step by step online. Find the derivative of 4cos(1/2x). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. 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). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Multiply the fraction and term in -4\cdot \left(\frac{1}{2}\right)\frac{d}{dx}\left(x\right)\sin\left(\frac{1}{2}x\right).
