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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\frac{d}{d x} (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}

\int sec (3 t) d t

x \to - 1 lim (5)

\frac{d}{d x} (x^{\frac{1}{2}} + 4 x^{\frac{2}{3}} + 7 x + 3)

x \to 0 lim (cot (7 x))

\int 9 tan (9 x) d x

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