Using the curve sketching model, sketch= 1. f(x)=x²ex 2. f(x) == x 3. f(x) = ln(4x²)

The ordered pairs below give the intensities y in microwatts per square centimeter of the light measured by a light probe located x centimeters from a light source.A model that approximates the data is y = 171.33/x2. (a) Use a graphing utility to plot the data points and the model in the same viewing window. (b) Use the model to approximate the light intensity 25 centimeters from the light source.

Differentiate the function using definition of a derivative

f(x)3Darctanx What is the slope of the tangent line at x=V3? Write the answer as a decimal number.