f(x)=|x-2|+|x-4|" ₹6% "Gin8" ( "" 2,"f'(3)=0

If f : R to R is defined by f(x) = x^(2)- 6x + 4 then , f(3x + 4) =

If f(x)=x^(3)+3x^(2)-2x+4, find f(-2)+f(2)-f(0)

For the function f, f(x)=x^2-6x + 8 , prove that f’(5)-3 f'(2)= f’(8).

For the function f given by f(x)=x^(2)-6x+8, prove that f'(5)-3f'(2)=f'(8)

If f'(x)=8x^(3)+3x^(2)-10x-k " and " f(0)=-3,f(-1)=0," then " f(x)= is

If f'(x)=4x^3-3x^2+2x+k and f(0)=1, f(1)=4 find f(x)

If f(x) = sqrt(x + 2sqrt(2x - 4)) + sqrt(x - 2sqrt(2x - 4)) , then f'(3) = f'(6) =

The function f(x) = x^3 - 6x^2 + ax + b is such that f(2) = f(4) = 0 . Consider two statements. (S1) there exists x_1, x_2 in (2,4), x_1 lt x_2 , such that f' (x_1) = - 1 and f'(x_2) = 0 . (S2) there exists x_3, x_4 in (2, 4), x_3 lt x_4 , such that f is decreasing in (2 , x_4) , increasing in (x_4,4) and 2f'(x_3) = sqrt3 f(x_4) .

The function f(x) = x^3 - 6x^2 + ax + b is such that f(2) = f(4) = 0 . Consider two statements. (S1) there exists x_1, x_2 in (2,4), x_1 lt x_2 , such that f' (x_1) = - 1 and f'(x_2) = 0 . (S2) there exists x_3, x_4 in (2, 4), x_3 lt x_4 , such that f is decreasing in (2 , x_4) , increasing in (x_4,4) and 2f'(x_3) = sqrt3 f(x_4) .