Assuming a large enough domain, the range is -1 to 1.
Chat with our AI personalities
Y=sin X is a function because for each value of X, there is exactly one Y value.
D(y)= sin 2x
y=3 cos(x) y' = -3 sin(x)
That means you must take the derivative of the derivative. In this case, you must use the product rule. y = 6x sin x y'= 6[x (sin x)' + (x)' sin x] = 6[x cos x + sin x] y'' = 6[x (cos x)' + (x)' cos x + cos x] = 6[x (-sin x) + cos x + cos x] = 6[-x sin x + 2 cos x]
2