`f(x)=4tanx-tan^2x+tan^3x ,x!=npi+pi/2,` (a)is monotonically increasing (b)is monotonically decreasing (c)has a point of maxima (d)has a point of minima

F(x) = 4 tan x-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2)

Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then f(x) is monotonically increasing in [-1,3/2] f(x) monotonically decreasing in (3/2,4) the maximum value of f(x)i s(25)/4 the minimum value of f(x) is 0

Let f(x) be and even function in R. If f(x) is monotonically increasing in [2, 6], then

Function f(x)=|x|-|x-1| is monotonically increasing when x 1 x<1 (d) 0

f(x)=[x] is step-up function. Is it a monotonically increasing function for x in R ?

Evaluate int tanx tan 2x tan 3x dx .

The function y=2x^2-ln|x| is monotonically increasing for values of x(!=0) satisfying the inequalities____ and monotonically decreasing for values of x satisfying the inequalities_____.

Consider the function f(x)=xcosx-sinxdot Then identify the statement which is correct. f is neither odd nor even. f is monotonic decreasing at x=0 f has a maxima at x=pi f has a minima at x=-pi

For f(x) = sin x - x^(2) + 1 , check weather the function is increasing, decreasing or has a point of extremum ?