`(x^(3) cosx - 2^(x) tanx)`

Find the derivative of (x + cosx) (x - tanx)

"If "y=(x)^(cosx)+(sinx)^(tanx)", prove that "(dy)/(dx)=x^(cosx){(cosx)/(x)-(sinx)logx}+(sinx)^(tanx).{1+(log sinx)sec^(2)x}.

Let f(x) = ((cosx+|cosx|)(sinx - 3/2)^3 (tanx-1)^5)/((cosx-2)^2(tanx-sqrt(3))^3) Find the interval of x in (-pi/2, pi/2) for which (i) f(x) > 0(ii) f(x) < 0

The value of {:(lim),(xrarr0):}(e^-(x^2/2)-cosx)/(x^3tanx) is equal to

Find the derivative of y = (sinx)^x + (cosx)^(tanx) .

int((cotx)/(sinx) - tan^(2)x -(tanx)/(cosx) + 2/(cosx)) dx

Find the derivative of(i) (x^5-cosx)/(sinx) (ii) (x+cosx)/(tanx)

prove the following (sin 5x+sinx-2sin3x)/(cos5x-cosx) = tanx

If y=e^(sinx)+(tanx)^(x)," prove that "(dy)/(dx)=e^(sinx)cosx+(tanx)^(x)[2x" cosec "2x+log tanx].

Find the derivative of {(3)/((x)^(1/3)) - 5/(cosx) +6/(sinx ) - (2tanx )/(sec x) + 7} .