Question

Find the slope of the tangent to the curve

i. y = (x³ - x) at x = 2

ii. y = (2x²+3 sin x) at x = 0

iii. y = (sin 2x+cot x+2)² at x = π/2

Answer 1

\(\frac{dy}{dx}\) at (x = π/2) = 2(0+0+2)(-2-1) = -12