\nTranscendental functions are ones that can’t be written in polynomial form. Some examples: sinx, logx, ex<\/sup>. Importantly, their derivates don’t collapse the way those of polynomials do.<\/p>\n \nThe derivative of sinx, for instance, is cosx. Then, the derivative of cosx is -sinx.<\/p>\n \nWith the product rule, (uv)’ = u’v + uv’, a product involving a transcendental will typically increase in complexity with successive derivates rather than decrease. For instance, the derivative of xsinx, by that same product rule, will be (1)sinx + xcosx.<\/p>\n \nSource:<\/p>\n Larson, Roland E. and Robert P. Hostetler. Calculus.<\/em> Toronto: D C Heath, 1989.<\/p>\nJack of Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.\n","protected":false},"excerpt":{"rendered":" Tutoring calculus, transcendental functions are important. The tutor mentions some examples of derivatives with them. Transcendental functions are ones that can’t be written in polynomial form. Some examples: sinx, logx, ex. Importantly, their derivates don’t collapse the way those of …<\/p>\n