3. Techniques of Differentiation

b. Slopes on a tangent curve What is the smallest value the slope of the curve can ever have on the interval −2 < x < 2? Give reasons for your answer.

Calculate the derivative of the following functions.

y = csc e^x

Calculate the derivative of the following functions.

y = tan(xe^x)

Find the derivative of the function.

$y=(8x^3-2x{)}^{3/2}$