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

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

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

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

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

cos (x) + 2 x

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (sin (x)) = cos (x)

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

= cos (x) + 2 x

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

(y e^{x y} cos (2 x) - 2 e^{x y} sin (2 x) + 2 x) + (x e^{x y} cos (2 x) - 3) y^{^{'}} = 0

x \to 0 lim ((1 - 6 x)^{\frac{5}{x}})

\frac{d y}{d x} + 7 y = 6

n = 1 \sum \infty 5 (\frac{7}{8})^{n}

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