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MATHEMATICS

JAMB 2020 - Question 4

Mathematics 2020 JAMB Past Questions - Question 4: differentiate x/cosx with respect to x

Choose the most appropriate option for the gap .

differentiate x/cosx with respect to x

A: 1 + x sec x tan x

B: 1 + sec²x

C: cos x + x tan x

D: sec x +nsec tan X

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Correct Answer

Explanation

let y = x/cosx = x sec x ( since 1cosx = sec x )let u = x, v = sec xdy/dx = U dy/dx + V du/dxdy/dx = x [secx tanx] + secxTherefore, dy/dx x/cosx = x secx tanx + secx