If for the function `"Phi"(x)=lambdax^2+7x-4,\ \ "Phiprime^"(5)=97` , find `lambda` .

If for the function varphi(x) = lambdax^2+7x-4 , varphi' (5) = 97, find lambda .

The values of lambda for which the function f(x)=lambdax^3-2lambdax^2+(lambda+1)x+3lambda is increasing through out number line (a) lambda in (-3,3) (b) lambda in (-3,0) (c) lambda in (0,3) (d) lambda in (1,3)

Let alpha and beta be the values of x obtained form the equation lambda^(2) (x^(2)-x) + 2lambdax +3 =0 and if lambda_(1),lambda_(2) be the two values of lambda for which alpha and beta are connected by the relation alpha/beta + beta/alpha = 4/3 . then find the value of (lambda_(1)^(2))/(lambda_(2)) + (lambda_(2)^(2))/(lambda_(1)) and (lambda_(1)^(2))/lambda_(2)^(2) + (lambda_(2)^(2))/(lambda_(1)^(2))

If x=acosn t-bsinn t and (d^2x)/(dt^2)=lambdax , then find the value of lambda .

Find the value of lambda for which the equation lambdax^2 + 4xy + y^2 + lambdax + 3y + 2=0 represents a pair of straight line

Given the function f(x) = 2x + 7. Find f(0), f(5), f(7).

If f(x)=lambdax^(2)+mux+12 , f'(4)=15 and f'(2)=11 , then find the value of lambda+mu .

Suppose, the function f(x)-f(2x) has the derivative 5 at x=1 and derivative 7 at x=2 . The derivative of the function f(x)-f(4x) at x=1 , has the value 10+lambda , then the value of lambda is equal to……..

Find the domain of the function f(x) =(x^2-3x+5)/(x^2-5x+4) .

Differentiate the following functions: Given f(x) = (7)/(4) x^(2) , find f'((1)/(7))