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Popular >

derivative of y=-6cos(-2x)

Solution

derivative of

y = - 6 cos (- 2 x)

Solution

12 sin (2 x)

Solution steps

\frac{d}{d x} (- 6 cos (- 2 x))

Simplify

- 6 cos (- 2 x) : - 6 cos (2 x)

= \frac{d}{d x} (- 6 cos (2 x))

Take the constant out:

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

= - 6 \frac{d}{d x} (cos (2 x))

Apply the chain rule:

- sin (2 x) \frac{d}{d x} (2 x)

= - sin (2 x) \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= - 6 (- sin (2 x) \cdot 2)

Simplify

= 12 sin (2 x)

Popular Examples

limit as x approaches 0+of x^{2/3}

x \to 0 + lim (x^{\frac{2}{3}})

integral of (x^2)/(sqrt(x^6-5))

\int \frac{x ^{2}}{x ^{6} - 5} d x

derivative of x/((x^2-1^4))

\frac{d}{d x} (\frac{x}{( x ^{2} - 1 ) ^{4}})

integral of tan^2(x)*sec(x)

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

area 1/4 x^2,3-x,x=1 area

\frac{1}{4} x^{2}, 3 - x, x = 1

Frequently Asked Questions (FAQ)

What is the derivative of y=-6cos(-2x) ?
The derivative of y=-6cos(-2x) is 12sin(2x)
What is the first derivative of y=-6cos(-2x) ?
The first derivative of y=-6cos(-2x) is 12sin(2x)