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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int_{- 1}^{1} x + 1 d x

\frac{d x}{d t} = e^{t}

\int (2 x y - sin (x)) d x

y = x^{3} - 4 x, (- 2, 0)

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