What is the derivative of y=cos(a^3+x^3) ?

The derivative of y=cos(a^3+x^3) is -sin(a^3+x^3)*3x^2

What is the first derivative of y=cos(a^3+x^3) ?

The first derivative of y=cos(a^3+x^3) is -sin(a^3+x^3)*3x^2

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derivative of

y = cos (a^{3} + x^{3})

- sin (a^{3} + x^{3}) \cdot 3 x^{2}

Solution steps

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

Apply the chain rule:

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

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

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

= - sin (a^{3} + x^{3}) \cdot 3 x^{2}

\frac{d y}{d x} = - 5 e^{x + y}

\int_{1}^{4} (3 x^{2} + x) d x

\frac{\partial}{\partial x} (cos (x z) + sin (yz) - z)

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

\int \frac{5}{y} d y

What is the derivative of y=cos(a^3+x^3) ?
The derivative of y=cos(a^3+x^3) is -sin(a^3+x^3)*3x^2
What is the first derivative of y=cos(a^3+x^3) ?
The first derivative of y=cos(a^3+x^3) is -sin(a^3+x^3)*3x^2