Mathematics Inverse Trigonometric Functions 1 Mark Appeared in: 2026 (3 sets) Differential of $\cos^{-1} (e^x)$ with respect to $x$ is : (A) $\frac{e^x}{\sqrt{1 - e^{2x}}}$ (B) $\frac{-e^x}{\sqrt{1 + e^x}}$ (C) $\frac{-e^x}{\sqrt{1 - e^{2x}}}$ (D) $\frac{e^x}{\sqrt{1 + e^{2x}}}$