Could you please provide each step of the solution in detail?

1. (a) (5 points) What is the definition of the derivative of a function? (b) (5 points) What is a tangent line? [Make sure to specify what such a line is tangent to] 2. (a) (5 points) Use the definition of the derivative to compute the derivative of f (x) = x2 - (b) (5 points) Find the tangent line to f(x) = x - - at the point where r = -1. 3. Use derivative rules to compute the derivatives of the following functions. (a) (5 points) f(x) = 3x tan-1(x2) + esinc (b) (5 points) g(x) = cos(2x) + 73 tan(2x) - 3x (c) (5 points) h(x) = cos(x2 + x) In(2x - 3) 4. (a) (5 points) Find the derivative of f(x) = (1 + x) [Hint : logarithmic differentiation] (b) (5 points) Find the tangent line to f(x) = (1 + x) at the point where r = 1

Answer rating: 100% (QA)

The Answer is in the image, click to view ... View the full answer