Find $\frac{\mathrm{d}}{\mathrm{d}x}\left(5^{\tan x}\right)$ \(\frac{\mathrm{d}}{\mathrm{d}x}\left

Question

Find $\frac{\mathrm{d}}{\mathrm{d}x}\left(5^{\tan x}\right)$ $\frac{\mathrm{d}}{\mathrm{d}x}\left(2^{x^2}\right)$ $\frac{\mathrm{d}}{\mathrm{d}x}\left(3^{\ln x}\right)$ $\frac{\mathrm{d}}{\mathrm{d}x}\left(\pi^{\sin 2x^3}\right)$

Accepted Answer

(a) $\sec^2x\,5^{\tan x}\ln5$ (b) $2x\,2^{x^2}\ln2$ (c) $\dfrac{3^{\ln x}\ln3}{x}$ (d) $6x^2\cos(2x^3)\,\pi^{\sin(2x^3)}\ln\pi$

Techniques of Differentiation - Derivatives of Trigonometric Functions

Techniques of Differentiation - Derivatives of Trigonometric Functions

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