y = x^2 − 2*x − 24*sqrt(x) - i) find dy/dx ii) find d^2y/dx^2
Solved by differentiation with respect to x,i) dy/dx = 2x - 2 - 12x^(-1/2)ii) d^2y/dx^2 = 2 + 6*x^(-3/2)
DG
Related Maths A Level answers
All answers ▸Find the tangent to the curve y = x^2 + 3x + 2 that passes through the point (-1,0), sketch the curve and the tangent.
Solve the following equation by completing the square: x^2 + 6x + 3 = 0.
Consider the function f (x) = (2/3) x^3 + bx^2 + 2x + 3, where b is some undetermined coefficient: (a) find f'(x) and f''(x) and (b) if you know that f(x) has a stationary point at x = 2, use this information to find b.
integration by parts: x^-2lnx