# Find the slope of the tangent to the curve (i) y = (x^3 – x) at x = 2 (ii) y = (2x^2 + 3 sin x) at x = 0

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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

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(i) y = (x3 – x) at x = 2

Consider y = (x3 – x) as the equation of curve

By differentiating both sides w.r.t x

(ii) y = (2x2 + 3 sin x) at x = 0

Consider y = (2x2 + 3 sin x) as the equation of curve

By differentiating both sides w.r.t x

(iii) y = (sin 2x + cot x + 2)2 at x = π/2

Consider y = (sin 2x + cot x + 2)2 as the equation of curve

By differentiating both sides w.r.t x