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 functiony =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

A function is defined parametrically as follows: x=t^(5)-5t^(3)-20t+7y=4t^(3)-3t^(2)-18t+3},|t|<2 Finf the the maximum and the mimimum of the funtion and mention the values of t where they are attained.

Let y=f(x) be a parametrically defined expression such that x=3t^(2)-18t+7 and y=2t^(3)-15t^(2)+24t+10,AA t in[0,6] Then the minimum and maximum values of y=f(x) are (A) 36,3(B)46,6(C)40,-6(D)46,-6

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

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 x=a(sin t-t cos t),y=a sin t then find the value of (d^(2)y)/(dx^(2))

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^(2)-3t+2t)dt,1lexle3 then the maximum value of f(x) is