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

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

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

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

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derivative of

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 \frac{x}{x ^{2} + 16} d x

\frac{\partial}{\partial y} (e^{5 x y})

\int 9^{x} d x

f (x) = 0.14 x^{2} + 0.68 x + 3.1

y = sin (4 x), (0, \frac{π}{4})

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