Evaluate the following: $\frac{\mathrm{d}}{\mathrm{d}x}\left(4^{2x}\right)$ \(\frac{\mathrm{d}}{\m

Question

Evaluate the following: $\frac{\mathrm{d}}{\mathrm{d}x}\left(4^{2x}\right)$ $\frac{\mathrm{d}}{\mathrm{d}x}\left(2^{x^2}\right)$ $\frac{\mathrm{d}}{\mathrm{d}x}\left(5^{\ln(2x)}\right)$ $\frac{\mathrm{d}}{\mathrm{d}x}\left(\pi^{\sin 2x^3}\right)$

Accepted Answer

(a) $4^{2x+1}\ln2$ (b) $2x\,2^{x^2}\ln2$ (c) $\dfrac{5^{\ln(2x)}\ln5}{x}$ (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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