Find `f'(x)` if `f(x)=x^3+2x^2+5x+6`

Find fog if f(x)= x-2 and g(x) = 3x

Find the interval in which the function f given f(x) = 2x^2 - 3x is stricitly increasing

Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing

Find the zeros of f(x) = x^(3) - 5x^(2) - 2 x + 24 , if the product of its two zeros is 12 .

If f(x) =x^(2) +1, g(x) = x^(2) - 5x+6 , find f+g, f-g, f/g .

Find the approximate value of f(3.02) , where f(x) = 3x^(2) + 5x + 3 .

Find the Continuity of function f(x) . f(x) = {{:(|x|+3, if, x le -3),(-2x, if, -3 lt x lt 3),(6x+2,if,x ge 3):}

Find the derivative of f(x)=2x^2+3x-5 ,also prove that f'(0)+3f'(-1)=0 .

Find all the points of local maxima and local minima of the function f given by f(x) = 2x^( 3) – 6x^(2) + 6x +5.