Home » Differentiate (frac{x}{cosx}) with respect to x

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

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 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