What is the derivative of cos(x^6) ?

The derivative of cos(x^6) is -sin(x^6)*6x^5

What is the first derivative of cos(x^6) ?

The first derivative of cos(x^6) is -sin(x^6)*6x^5

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\frac{d}{d x} (cos (x^{6}))

- sin (x^{6}) \cdot 6 x^{5}

Solution steps

\frac{d}{d x} (cos (x^{6}))

Apply the chain rule:

- sin (x^{6}) \frac{d}{d x} (x^{6})

= - sin (x^{6}) \frac{d}{d x} (x^{6})

\frac{d}{d x} (x^{6}) = 6 x^{5}

= - sin (x^{6}) \cdot 6 x^{5}

u^{4}

f (x) = (1 - x) (x^{2} - 3)^{2}, at x = 2

x \to 2 + lim ((2 - x)^{x - 2})

3 y^{^{''}} - 5 y^{^{'}} - 14 y = 0

What is the derivative of cos(x^6) ?
The derivative of cos(x^6) is -sin(x^6)*6x^5
What is the first derivative of cos(x^6) ?
The first derivative of cos(x^6) is -sin(x^6)*6x^5