SOME QUESTIONS ON DIFFERENTIABILITY

• Find the point on the curve y = 2x² – 6x – 4 at which the tangent is parallel to the x – axis
• Find the slope of tangent for y = tan x + sec x at x = π/4
• For the curve y = 3x² + 4x, find the slope of the tangent to the curve at the point x = -2.
• Find a point on the curve y = x² – 4x -32 at which tangent is parallel to x-axis.
• Find a, for which f(x) = a(x+sinx)+a is increasing .
• The side of a square is increasing at 4 cm/minute. At what rate is the area increasing when the side is 8 cm long?
• Find the point on the curve y =x²-7x+12, where the tangent is parallel to x-axis.