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Differentiate frac x cosx with respect to x - JAMB Mathematics 1998 Question

Differentiate \(\frac{x}{cosx}\) with respect to x
A
1 + x sec x tan x
B
1 + sec2 x
C
cos x + x tan x
D
x sec x tan x + secx
correct option: d

let y = (\frac{x}{cosx}) = x sec x

y = u(x) v (x0

(\frac{dy}{dx}) = U(\frac{dy}{dx}) + V(\frac{du}{dx})

dy x [secx tanx] + secx

x = x secx tanx + secx

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