Find the value of `a` in order that `f(x)=sqrt(3)sinx-cosx-2a x+b` decreases for all real values of `xdot`

H(x) increase as f(x) decreases for all real values of x if

Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0,2pi)dot

Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decreases montonically for all real xdot

For what values of a , the function f(x)=((sqrt(a+4))/(1-a) -1)x^5-3x+"log"(5) decreases for all real xdot

If f(x)=sqrt(x^2+a x+4) is defined for all x , then find the values of adot

Solve the equation (sqrt(3))/2sinx-cosx=cos^2x

Let f(x) be a function such that f(x)=(log)_(1/2)[(log)_3(sinx+a]dot If f(x) is decreasing for all real values of x , then a in (1,4) (b) a in (4,oo) a in (2,3) (d) a in (2,oo)

Find the values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is increasing for all values of xdot

Find the values of p if f(x)=cosx-2p x is invertible.

Let f: R->R be a differentiable function for all values of x and has the property that f(x)a n df^(prime)(x) has opposite signs for all value of xdot Then, (a) f(x) is an increasing function (b) f(x) is an decreasing function (c) f^2(x) is an decreasing function (d) |f(x)| is an increasing function