ableitungen-üben-2

$$||"id":336568362534||f(x)=3x^2\ast \sin (x)f^{\prime }(x)=6x\ast \sin (x)+3x^2+\cos (x)g(x)=e^{2x}-\sqrt{x}{g}^{\prime }(x)=2\ast e^{2x}-\frac{1}{2\ast \sqrt{x}}h(x)=\frac{\ln (3x^6)}{\sqrt{x^2}}$$

$h^{\prime }(x)=\frac{18x^5\times \frac{1}{3x^6}\times \sqrt{x}-\frac{1}{2\sqrt{x}}\times ln(3x^6)}{x}=\frac{\frac{6\sqrt{x}}{x}-\frac{ln(3x^6}{2\sqrt{x}}}{x}=\frac{\frac{12-ln(3x^6)}{2\sqrt{x}}}{x}=\frac{12-ln(3x^6)}{2\times \sqrt{x}\times x}=\frac{12-ln(3x^6)}{2\times \sqrt{x^3}}$