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Derivatives of exponential functions

Find the value of c in Figure 3.12 (picture attached), where the line l tangent to the graph of y = 2x at (0, 1) intersects the x-axis. Give your answer correct to 2 decimal places.

Find the derivative of the function below.
f(x) = e^2 + x^e


Solution Preview

1. y = 2^x, then y' = 2^x ln2.
At the point (0,1), we have y' = 2^0 ...

Solution Summary

This provides an example of working with a tangent line and finding a derivative.