Question

Find the derivative f'(x) using the chain, general exponential, and trigonometric rules.

$$f(x) = (4 \cdot 7^{x} + 2\cos(x))^{\frac{1}{2}}$$

Accepted Answer

$$f'(x) = \frac{1}{2}(4 \cdot 7^{x} + 2\cos(x))^{-\frac{1}{2}} \cdot \left(4 \cdot 7^{x}\ln{7} - 2\sin(x)\right)$$

Answer

$$f'(x) = \frac{1}{2}(4 \cdot 7^{x} + 2\cos(x))^{-\frac{1}{2}}$$

Answer

$$f'(x) = \frac{1}{2}(4 \cdot 7^{x} + 2\cos(x))^{\frac{1}{2}} \cdot \left(4 \cdot 7^{x}\ln{7} - 2\sin(x)\right)$$

Answer

$$f'(x) = (4 \cdot 7^{x} + 2\cos(x))^{-\frac{1}{2}} \cdot \left(4 \cdot 7^{x}\ln{7} - 2\sin(x)\right)$$

Derivative Rules - Multi Chain General Exponential Trigonometric to Derivative