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

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

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

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

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derivative of

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}{d x} (f (x) (5 x^{2} - 4))

\int \frac{8 e ^{- \frac{1}{x}}}{x ^{2}} d x

- \frac{6}{( 1 - x ) ^{4}}

\frac{d ^{2}}{d x ^{2}} ((- 6 - 7 t)^{6})

\int_{1}^{4} t d t

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