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

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

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

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

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

- sin (x^{2} + 2 x) (2 x + 2)

Solution steps

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

Apply the chain rule:

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

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

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

= - sin (x^{2} + 2 x) (2 x + 2)

\frac{8 x ^{2} + 4 x + 4}{x}

x = y^{2} + 6 y, x = y

\int_{0}^{x} 4 tan (t) d t

y^{^{''}} + 9 y = e^{3 x}

\frac{\partial}{\partial x} (sin^{2} (x y))

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