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Popular >

derivative of y=cos^2(1-3x^2)

Solution

derivative of

y = cos^{2} (1 - 3 x^{2})

Solution

12 x cos (1 - 3 x^{2}) sin (1 - 3 x^{2})

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (cos (1 - 3 x^{2})) = 6 x sin (1 - 3 x^{2})

= 2 cos (1 - 3 x^{2}) \cdot 6 x sin (1 - 3 x^{2})

Simplify

= 12 x cos (1 - 3 x^{2}) sin (1 - 3 x^{2})

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x \to 0 - lim (e^{\frac{6}{x}})

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x \to - 1 + lim (arccos (x))

2y+(x+1)(dy)/(dx)=3x+3

2 y + (x + 1) \frac{d y}{d x} = 3 x + 3

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\int 5 e^{- 0.1 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of y=cos^2(1-3x^2) ?
The derivative of y=cos^2(1-3x^2) is 12xcos(1-3x^2)sin(1-3x^2)
What is the first derivative of y=cos^2(1-3x^2) ?
The first derivative of y=cos^2(1-3x^2) is 12xcos(1-3x^2)sin(1-3x^2)