40 A level Mathematics Calculus Series Video 23 Part 2

This video is part 2 of differentiating exponential functions for A-level mathematics. We will focus on differentiating functions of the form y = a to the kx, building on the knowledge from the previous video. The lesson will then walk through an example of finding the equation of a tangent to a curve involving an exponential function. In this calculus tutorial, we cover how to differentiate y = a^kx and apply this rule to solve a problem. The derivative of y = a^kx is found to be k * ln(a) * a^kx. We then use this formula to calculate the gradient of the curve y = 3^(2x) at the point (1, 9). Finally, we use the point-gradient form of a straight line to determine the equation of the tangent to the curve at this point. Visit AxiomTutoring.com for more math help and subscribe to @AxiomTutoringCourses.