What is the derivative of 4cos(3x-3sin(4x)) ?

The derivative of 4cos(3x-3sin(4x)) is -12sin(3x)-12cos(4x)

What is the first derivative of 4cos(3x-3sin(4x)) ?

The first derivative of 4cos(3x-3sin(4x)) is -12sin(3x)-12cos(4x)

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\frac{d}{d x} (4 cos (3 x) - 3 sin (4 x))

- 12 sin (3 x) - 12 cos (4 x)

Solution steps

\frac{d}{d x} (4 cos (3 x) - 3 sin (4 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 cos (3 x)) - \frac{d}{d x} (3 sin (4 x))

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

\frac{d}{d x} (3 sin (4 x)) = 12 cos (4 x)

= - 12 sin (3 x) - 12 cos (4 x)

\frac{d}{d x} (sin (x^{3} + 3))

\frac{d}{d x} (e^{a x} + a e^{a x} x)

\frac{d}{d x} (9 sin (x))

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

\int_{4}^{6} \frac{y}{y ^{2} - 3} d y

What is the derivative of 4cos(3x-3sin(4x)) ?
The derivative of 4cos(3x-3sin(4x)) is -12sin(3x)-12cos(4x)
What is the first derivative of 4cos(3x-3sin(4x)) ?
The first derivative of 4cos(3x-3sin(4x)) is -12sin(3x)-12cos(4x)