Practice problem
Find the derivative of y=ln(sin2x3)y=\ln(\sin2x^{3})y=ln(sin2x3)
6xtan2x36x\tan2x^{3}6xtan2x3
6x2cot2x36x^{2}\cot2x^{3}6x2cot2x3
2x3cot3x22x^{3}\cot3x^{2}2x3cot3x2
2x3cot2x22x^{3}\cot2x^{2}2x3cot2x2
cot2x36x2\dfrac{\cot2x^{3}}{6x^{2}}6x2cot2x3
Type a concept, like “slope” or “photosynthesis”.