Find the intervals of increasing and decreasing function for f(x) = x³ + 2x² - 1.

Find the point on the parabola y²=18x at which the ordinate increases at twice the rate of the abscissa.

Find the equation of the tangent to the curve y²=4x+5 and which is parallel to y=2x+7

Verify Lagrange’s Mean Value theorem for \(f(x)=\sqrt { x-2 } \) in the interva [2,6]

Expand the polynomial f(x)=x²-3x+2 in power of (x-2)