What is the derivative of 2xcos(5x^2) ?

The derivative of 2xcos(5x^2) is 6cos(5)x^2

What is the first derivative of 2xcos(5x^2) ?

The first derivative of 2xcos(5x^2) is 6cos(5)x^2

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\frac{d}{d x} (2 x cos (5) x^{2})

6 cos (5) x^{2}

Solution steps

\frac{d}{d x} (2 x cos (5) x^{2})

Simplify

2 x cos (5) x^{2} : 2 cos (5) x^{3}

= \frac{d}{d x} (2 cos (5) x^{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 cos (5) \frac{d}{d x} (x^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 cos (5) \cdot 3 x^{3 - 1}

Simplify

= 6 cos (5) x^{2}

x \to - 3 lim (- \frac{6}{x + 3})

\int \frac{4}{x ^{2}} cos (\frac{4}{x}) d x

(- x^{3} - x^{2} + x) cos (x)

\frac{d}{d t} (A t^{2} e^{- t})

\int_{- 2}^{- 1} u - \frac{1}{u ^{2}} d u

What is the derivative of 2xcos(5x^2) ?
The derivative of 2xcos(5x^2) is 6cos(5)x^2
What is the first derivative of 2xcos(5x^2) ?
The first derivative of 2xcos(5x^2) is 6cos(5)x^2