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1. Compute the derivative of the given function and find the slope of the line that is tangent to its graph for the specified value of the independent variable. (Compute the derivative of the function from the definition only, using limits. More advanced methods are not allowed here. Show your work.)

(i) f(x) = x^2 - 1
x = -1

(ii) f(x) = x^3 - 1
x = 2

2. Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value x = c.
(Compute the derivative of the function from the definition only, using limits. More advanced methods are not allowed here. Show your work.)

f(x) = 2- 3x^2
c = 1

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1. Compute the derivative of the given function and find the slope of the line that is tangent to its graph for the specified value of the independent variable. (Compute the derivative of the function from the definition only, using limits. More advanced methods are not ...

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