What is the derivative of f(x)=3cos(cos(x^6)) ?

The derivative of f(x)=3cos(cos(x^6)) is 18x^5sin(cos(x^6))sin(x^6)

What is the first derivative of f(x)=3cos(cos(x^6)) ?

The first derivative of f(x)=3cos(cos(x^6)) is 18x^5sin(cos(x^6))sin(x^6)

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derivative of

f (x) = 3 cos (cos (x^{6}))

18 x^{5} sin (cos (x^{6})) sin (x^{6})

Solution steps

\frac{d}{d x} (3 cos (cos (x^{6})))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (cos (cos (x^{6})))

Apply the chain rule:

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

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

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

= 3 (- sin (cos (x^{6})) (- sin (x^{6}) \cdot 6 x^{5}))

Simplify

= 18 x^{5} sin (cos (x^{6})) sin (x^{6})

\int_{- \infty}^{0} \frac{1}{2 - 10 x} d x

(x^{2} sin (x) + 4 y) d x + x d y = 0

\frac{d}{d x} (3^{x^{2} - 1})

\frac{d}{d x} (a t^{5} - 5 b t^{3})

x \to - 2 - lim (2 x + 4 - 2)

What is the derivative of f(x)=3cos(cos(x^6)) ?
The derivative of f(x)=3cos(cos(x^6)) is 18x^5sin(cos(x^6))sin(x^6)
What is the first derivative of f(x)=3cos(cos(x^6)) ?
The first derivative of f(x)=3cos(cos(x^6)) is 18x^5sin(cos(x^6))sin(x^6)