What is the derivative of 3sin(x^2) ?

The derivative of 3sin(x^2) is 6xcos(x^2)

What is the first derivative of 3sin(x^2) ?

The first derivative of 3sin(x^2) is 6xcos(x^2)

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\frac{d}{d x} (3 sin (x^{2}))

6 x cos (x^{2})

Solution steps

\frac{d}{d x} (3 sin (x^{2}))

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{2}) = 2 x

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

Simplify

= 6 x cos (x^{2})

x \to 0 lim (\frac{9 ^{x} - 1 3 ^{x}}{x})

(8 x - x^{2}) (1.7)

\frac{d}{d x} ((x^{3} + 2 x + 6) (4 + \frac{1}{x ^{2}}))

\int_{0}^{\infty} e^{- 5 x} d x

\int \frac{- x - 1}{x} d x

What is the derivative of 3sin(x^2) ?
The derivative of 3sin(x^2) is 6xcos(x^2)
What is the first derivative of 3sin(x^2) ?
The first derivative of 3sin(x^2) is 6xcos(x^2)