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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

x \to 0 lim (cos (x) ln (x))

f (x) = 4 sin (2 x)

x \to \infty lim (- 5)

\int \frac{6 x ^{2} - 5 x + 4}{x ^{3} + 4 x} d x

x \to 0 + lim (cot (x) - \frac{1}{x})

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