What is the derivative of y=cos(a^5+x^5) ?

The derivative of y=cos(a^5+x^5) is -sin(a^5+x^5)*5x^4

What is the first derivative of y=cos(a^5+x^5) ?

The first derivative of y=cos(a^5+x^5) is -sin(a^5+x^5)*5x^4

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derivative of

y = cos (a^{5} + x^{5})

- sin (a^{5} + x^{5}) \cdot 5 x^{4}

Solution steps

\frac{d}{d x} (cos (a^{5} + x^{5}))

Apply the chain rule:

- sin (a^{5} + x^{5}) \frac{d}{d x} (a^{5} + x^{5})

= - sin (a^{5} + x^{5}) \frac{d}{d x} (a^{5} + x^{5})

\frac{d}{d x} (a^{5} + x^{5}) = 5 x^{4}

= - sin (a^{5} + x^{5}) \cdot 5 x^{4}

\int_{2}^{4} \frac{3}{x} d x

\frac{\partial}{\partial x} (2 y sin (x) + e^{2 z})

x \to 0 - lim (e^{- \frac{7}{x}})

\int - \frac{1}{2 x x ^{2} + 9} d x

e^{x^{5}} + lo g_{4} (π)

What is the derivative of y=cos(a^5+x^5) ?
The derivative of y=cos(a^5+x^5) is -sin(a^5+x^5)*5x^4
What is the first derivative of y=cos(a^5+x^5) ?
The first derivative of y=cos(a^5+x^5) is -sin(a^5+x^5)*5x^4