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# Derivatives and tangent lines

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Use the definition of the derivative to find f '(x) given
f(x)=^/¯x

Write an equation of the line tangent to the curve at the point P(-1, 7). Express the answer in the form ax + by = c.
y= 5/x^2-2/x^3

Write the equation of the line tangent to the curve at the point P where x = 4. Write the equation in the form ax + by = c.
y=3^/¯x

A mass of clay of volume is formed into two cubes. What is the minimum possible total surface area of the two cubes? What is the maximum?

432in3

Differentiate the function
f(x)=(1+x)^3/2(2+x)^2/3

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#### Solution Summary

This provides examples of working with derivatives, tangent lines at given points, and minimum and maximum surface area.

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