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Popular >

derivative of-3sin(2x-6cos(x))

Solution

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

Solution

- 6 cos (2 x) + 6 sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= - 6 cos (2 x) - (- 6 sin (x))

Simplify

= - 6 cos (2 x) + 6 sin (x)

Graph

Popular Examples

derivative of sin(25x^2+6x+4)

\frac{d}{d x} (sin (25 x^{2} + 6 x + 4))

derivative of (8x/(x^2+4))

\frac{d}{d x} (\frac{8 x}{x ^{2} + 4})

(dy)/(dx)=(1+2y^2)/(y*sin(x))

\frac{d y}{d x} = \frac{1 + 2 y ^{2}}{y \cdot sin ( x )}

derivative of ({f}(x)/({g)(x)+1})

\frac{d}{d x} (\frac{f ( x )}{g ( x ) + 1})

tangent of-2sin(x),\at x= 3/4 pi tangent of

- 2 sin (x), at x = \frac{3}{4} π

Frequently Asked Questions (FAQ)

What is the derivative of-3sin(2x-6cos(x)) ?
The derivative of-3sin(2x-6cos(x)) is -6cos(2x)+6sin(x)
What is the first derivative of-3sin(2x-6cos(x)) ?
The first derivative of-3sin(2x-6cos(x)) is -6cos(2x)+6sin(x)