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

The derivative of sin(x^3+3) is cos(x^3+3)*3x^2

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

The first derivative of sin(x^3+3) is cos(x^3+3)*3x^2

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

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

Solution steps

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

Apply the chain rule:

cos (x^{3} + 3) \frac{d}{d x} (x^{3} + 3)

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

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

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

\frac{d}{d x} (e^{a x} + a e^{a x} x)

\frac{d}{d x} (9 sin (x))

\frac{d}{d x} (2 x^{- 1})

\int_{4}^{6} \frac{y}{y ^{2} - 3} d y

\frac{d}{d x} (\frac{x ^{3}}{48} + \frac{4}{x})

What is the derivative of sin(x^3+3) ?
The derivative of sin(x^3+3) is cos(x^3+3)*3x^2
What is the first derivative of sin(x^3+3) ?
The first derivative of sin(x^3+3) is cos(x^3+3)*3x^2