The graph of the inverse of a function f can be obtained by reflecting the graph of f across the line y = x.
We combined our understanding of inverse functions and derivatives this week and found these rules...
We combined our understanding of inverse functions and derivatives this week and found these rules...
We also took a look at the derivatives of exponential and logarithmic functions. First we learned that the the derivative of e to the x then it is simply e to the x. If u is a differentiable function of x, then we have the derivative of e to the u equals e to the u multiplied by the derivative of u over the derivative of x. We can also find the derivative of a to the x with the chain rule. If u is a differentiable function of x we get the followin... For a>0 and not equal to 1, derivative of a to the u = a to the u ln a times the derivative of u over the derivative of x. The following chart also supports the formulas.
This week we finished up the long Ch. 3 and are reviewing for the test on monday. It will defintely take some studying on the weekend to be prepared, so lets hope I study. Next we will learn the applications of derivatives in Ch. 4.