Differentiating cosine

If y=a\cos bx, then \frac{dy}{dx}=-ab\sin ax

Find \frac{dy}{dx} of y=\frac13\cos x

Find \frac{dy}{dx} of y=\cos2x

Find \frac{dy}{dx} of y=-\cos7x

Find \frac{dy}{dx} of y=2\cos4x

flashcards

QuestionAnswer
If y = a \cos(bx), what is the general formula for \frac{dy}{dx}?\frac{dy}{dx} = -ab \sin(bx)
Find \frac{dy}{dx} of y = \frac{1}{3} \cos x\frac{dy}{dx} = -\frac{1}{3} \sin x
Find \frac{dy}{dx} of y = \cos(2x)\frac{dy}{dx} = -2 \sin(2x)
Find \frac{dy}{dx} of y = -\cos(7x)\frac{dy}{dx} = 7 \sin(7x)
Find \frac{dy}{dx} of y = 2\cos(4x)\frac{dy}{dx} = -8 \sin(4x)