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}

f (x) = 3 x^{2} + 2

\frac{7}{s ^{4}}

\int x tan^{3} (x^{2}) d x

y^{^{''}} + 6 y^{^{'}} + 6 y = 0

y^{^{'}} = 2 t, y (0) = 1

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