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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int_{- 1}^{1} x^{3} - x d x

1 e^{4 t}

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

\frac{6 x}{x + 7}, at x = 1

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

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