Category: Differential Calculus 01 Problem

Solution: Evaluate lim┬(x→∞) ⁡∑ 3/n {(i/n)^2 + 1}

Solution: If y = x/2 + (sin2x)/4; find x for which dy/dx = 0

Solution: Find the radius of curvature of y = 2x^2 at the point (1, 2)

Solution: What is the value of x for which y = 2x^3 – 3x^2 – 36x + 25

Solution: At what point of the curve y = x^3 + 3x are the values of y’ and y” equal?

Solution: If x = t^2 and y = 2t, find d^2y/d^2x

Solution: Find a number “c” which satisfies the conclusion of the “Mean Value Theorem”

Solution: Find a, b, c which satisfies the hypothesis of Rolle’s theorem

Solution: Find the equation of the normal to x^2 + y^2 = 1 at the point (2, 1)

Solution: Find the radius of curvature at any point of the curve y + ln(cosx) = 0