# • Use Matlab To Find The Derivative Of A Function. • Find The Value Of A Derivative Of A Function At A Specific Point. •

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1. Write MATLAB code to find the derivative of each of the below functions: a. ?(?) = sin(?*+,-) b. ?(?) = -2?, + 5? csc(?) c. ?(?) = 789:;<=>?(-) <@=9 - 2. Write MATLAB code to find the rate of change of the function at the given point ?A: a. ?(?) = sin(?) + cos(?) , ?A = E F . b. ?(?) = ?G + 2? - 1, ?A = -1. 3. Write MATLAB code to graph the derivative of each function over the given domain: a. ?(?) = 2?F + 3?, 1 over -2 <= ? <= 1. b. ?(?) = sin(?) cos(?) over -2 <= ? <= 2. 4. Using the graphs from problem 3 to answer the following for each function (this can be done as a comment in your MATLAB code): a. Estimate the extrema (maximum/minimum) in the given interval. b. Estimate the interval where the graph is increasing in the given interval. c. Estimate the interval where the graph is decreasing in the given interval. 5. Write MATLAB code to graph the function and the equation of the tangent line to the function at the given point ?A on the same graph: a. ?(?) = ?G  ?F + ?,  ? + 2, ?A = 1 b. ?(?) = cos(?), ?A = ? 6. Find the critical values of each function within the given interval: a. ?(?) = * G ?G + G F ?F - L , ?,, -3 <= ? <= 3 b. ?(?) = ?,?- , - 5 <= ? <= 5

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