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Differentiate \(\frac{x}{cosx}\) with respect to x

Differentiate \(\frac{x}{cosx}\) with respect to x
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • 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 Answer: Option D
Explanation:
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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