If the function `y=f(x)` is represented as `x=phi(t)=t^5-5t^3-20 t+7`, `y=psi(t)=4t^3-3t^2-18 t+3(|t|<2),` then find the maximum and minimum values of `y=f(x)dot`

A function y =f(x) is represented parametrically as following x=phi(t)=t^(5)-20t+7 y=psi(t)=4t^(3)-3t^(2)-18t+3 where t in [-2,2] Find the intervals of monotonicity and also find the points of extreama.Also find the range of function.

Let the function y = f(x) be given by x= t^(5) -5t^(3) -20t +7 and y= 4t^(3) -3t^(2) -18t + 3 where t in ( -2,2) then f'(x) at t = 1 is

If a function y=f(x) is defined as y=(1)/(t^(2)-t-6)and t=(1)/(x-2), t in R . Then f(x) is discontinuous at

A function y=f(x) is given by x=1/(1+t^2) and y=1/(t(1+t^2)) for all tgt0 then f is

The second derivative of a single valued function parametrically represented by x=phi(t) and y=psi(t) (where phi(t) and psi(t) are different function and phi'(t)ne0) is given by

The function y = f(x) is defined by x=2t-|t|, y=t^2+|t|, t in R in the interval x in [-1,1] , then

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^(2)-3t+2)dt,1ltxlt3 then the maximum value of f(x) is

if f(x)=int_(-1)^(x)t(e^(t)-1)(t-1)(t-2)^(3)(t-3)^(5)dt has a local minimum then sum of values of x

Show that the function y=f(x) defined by the parametric equations x=e^(t)sin(t),y=e^(t).cos(t), satisfies the relation y''(x+y)^(2)=2(xy'-y)

Let f(x)=int_(0)^(x) (sint-cost)(e^t-2)(t-1)^3(t-1)^3(t-2)^5 dt , 0lt xle4 Then , the number of points where f(x) assumes local maximum value , is