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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int \frac{- x ^{2} - 9 x - 1}{x + 8} d x

\int e^{- \frac{x}{7}} d x

x^{\frac{3}{5}}

\frac{\partial}{\partial x} (\frac{2 x - 3 y}{2 x + 3 y})

\int 3 x^{5} x^{3} + 1 d x

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