What is the derivative of y=cos(a^4+x^4) ?

The derivative of y=cos(a^4+x^4) is -sin(a^4+x^4)*4x^3

What is the first derivative of y=cos(a^4+x^4) ?

The first derivative of y=cos(a^4+x^4) is -sin(a^4+x^4)*4x^3

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derivative of

y = cos (a^{4} + x^{4})

- sin (a^{4} + x^{4}) \cdot 4 x^{3}

Solution steps

\frac{d}{d x} (cos (a^{4} + x^{4}))

Apply the chain rule:

- sin (a^{4} + x^{4}) \frac{d}{d x} (a^{4} + x^{4})

= - sin (a^{4} + x^{4}) \frac{d}{d x} (a^{4} + x^{4})

\frac{d}{d x} (a^{4} + x^{4}) = 4 x^{3}

= - sin (a^{4} + x^{4}) \cdot 4 x^{3}

(7, 5), (- 4, - 1)

\int_{0}^{\frac{π}{4}} sec^{5} (x) d x

f (x) = 8 x^{3} - x^{π}

\int \frac{x}{- 5 x ^{2} + 2 x + 1} d x

\frac{d}{d x} (8 (x + 4)^{\frac{3}{2}})

What is the derivative of y=cos(a^4+x^4) ?
The derivative of y=cos(a^4+x^4) is -sin(a^4+x^4)*4x^3
What is the first derivative of y=cos(a^4+x^4) ?
The first derivative of y=cos(a^4+x^4) is -sin(a^4+x^4)*4x^3