Homework 11 Desmos lets you work with a special function called "cosh". The name is short for "hyperbolic cosine." One reason that this function is famous is that its graph is the shape of a hanging chain-something like a necklace without any pendants, as in this image of an item for sale on Amazon, 1. How would you estimate the derivative of the cosh (x) function at x = -2 using an average rate of change? Write down the average rate of change that you would calculate for this estimate. 2. Use Desmos to evaluate the average rate of change that you wrote down in the first question. This average rate of change will be your estimate for the derivative of cosh (x) at x = -2. We have seen that Desmos has a built-in system for estimating derivatives, but I am asking you to make your own estimate using an average rate of change. Record your estimate here. 3. Use your estimated value of the derivative of cosh(x) at x = -2 to find the equation of the tangent line to the graph of this function at & = -2. You will have to do a bit of algebra to find the y- intercept for the tangent line.4. Use Desmos to graph both the cosh(x) function and your equation for the tangent line. Include a copy of your graph with your homework. If your line does not appear to be tangent to the graph of cosh(x) at x = -2, something probably went wrong with your calculations! Please go back and try to fix your work. 5. What is our new shortcut rule for calculating derivatives of exponential functions of & like ex, elf, e-7x, etc.? 6. Use the new rule to help calculate the derivatives of the following functions of x: 4p-1.5x + 7x2 C 45 - 2p01x d, 13ever