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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

Learn how to solve differential calculus problems step by step online.

$2\sin\left(3x^2-1\right)\frac{d}{dx}\left(\sin\left(3x^2-1\right)\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of sin(3x^2-1)^2. 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 a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-1) is equal to zero.

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