Final answer to the problem
$4x\cos\left(2x^2-3\right)$
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Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of sin(2x^2-3). 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 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}.
Final answer to the problem
$4x\cos\left(2x^2-3\right)$
