Application of DerivativeHard
Question
The length of a longest interval in which the function 3sin x - 4sin3 x increasing, is
Options
A.

B.

C.

D.π
Solution
Let f(x) = 3sin x - 4sin3 x = sin 3x
The longest interval in which sin x is increasing, is of length π.
So, the length of largrst interval in which
f(x) = sin 3x is increasing, is
The longest interval in which sin x is increasing, is of length π.
So, the length of largrst interval in which
f(x) = sin 3x is increasing, is
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
If f(x) = (x - 4) (x - 5) (x - 6) (x - 7) then,...-The equation of normal to the curve y = x3 - 2x2 + 4 at the point x = 2 is-...The coordinates of the point(s) on the graph of the function, f(x) = + 7x - 4 where the tangent drawn cut off intercepts...For a curve equals-...If x = t2 and y = 2t, then equation of normal at t = 1 is-...