What is the derivative of y=cos^2(3x-1) ?

The derivative of y=cos^2(3x-1) is -6cos(3x-1)sin(3x-1)

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

The first derivative of y=cos^2(3x-1) is -6cos(3x-1)sin(3x-1)

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derivative of

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

- 6 cos (3 x - 1) sin (3 x - 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (cos (3 x - 1)) = - sin (3 x - 1) \cdot 3

= 2 cos (3 x - 1) (- sin (3 x - 1) \cdot 3)

Simplify

= - 6 cos (3 x - 1) sin (3 x - 1)

x \to 0 - lim (\frac{8}{5 x ^{\frac{1}{2}}})

(5.4) (7.7)

\int \frac{x ^{2}}{( 15 + 6 x - 9 x ^{2} ) ^{\frac{3}{2}}} d x

f (x) = x + 1, at x = 0

f (x) = e^{x}

What is the derivative of y=cos^2(3x-1) ?
The derivative of y=cos^2(3x-1) is -6cos(3x-1)sin(3x-1)
What is the first derivative of y=cos^2(3x-1) ?
The first derivative of y=cos^2(3x-1) is -6cos(3x-1)sin(3x-1)