What is the derivative of cos(5sqrt(12-4x^3)) ?

The derivative of cos(5sqrt(12-4x^3)) is (15x^2sin(10sqrt(3-x^3)))/(sqrt(3-x^3))

What is the first derivative of cos(5sqrt(12-4x^3)) ?

The first derivative of cos(5sqrt(12-4x^3)) is (15x^2sin(10sqrt(3-x^3)))/(sqrt(3-x^3))

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\frac{d}{d x} (cos (5 12 - 4 x^{3}))

\frac{15 x ^{2} sin ( 10 3 - x ^{3} )}{3 - x ^{3}}

Solution steps

\frac{d}{d x} (cos (5 12 - 4 x^{3}))

Apply the chain rule:

- sin (5 12 - 4 x^{3}) \frac{d}{d x} (5 12 - 4 x^{3})

= - sin (5 12 - 4 x^{3}) \frac{d}{d x} (5 12 - 4 x^{3})

\frac{d}{d x} (5 12 - 4 x^{3}) = - \frac{15 x ^{2}}{3 - x ^{3}}

= - sin (5 12 - 4 x^{3}) (- \frac{15 x ^{2}}{3 - x ^{3}})

Simplify

- sin (5 12 - 4 x^{3}) (- \frac{15 x ^{2}}{3 - x ^{3}}) : \frac{15 x ^{2} sin ( 10 3 - x ^{3} )}{3 - x ^{3}}

= \frac{15 x ^{2} sin ( 10 3 - x ^{3} )}{3 - x ^{3}}

\int_{2}^{5} (x - 3)^{2} d x

\frac{\partial}{\partial z} (- 5 e^{x} cos (yz))

y = 3 x + 8 cos (x), (0, 8)

x \to 3 + lim (\frac{x - 1}{3 - x})

\int 15 tan^{2} (x) sec^{3} (x) d x

What is the derivative of cos(5sqrt(12-4x^3)) ?
The derivative of cos(5sqrt(12-4x^3)) is (15x^2sin(10sqrt(3-x^3)))/(sqrt(3-x^3))
What is the first derivative of cos(5sqrt(12-4x^3)) ?
The first derivative of cos(5sqrt(12-4x^3)) is (15x^2sin(10sqrt(3-x^3)))/(sqrt(3-x^3))