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