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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.
$\frac{1}{4}\frac{d}{dt}\left(\sin\left(2\theta\right)^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 1/4sin(2t)^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}. 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 the linear function times a constant, is equal to the constant.