Use p(x) = In(x² + x + 7) to answer the questions below. (a) Find p'(x) = (b) Find the equation of the tangent line to p(x) at x = 0. Use y as the dependent variable. (c) If the equation of the tangent line produces an underestimate for values of p(x) near x = 0, which of the following must be true near x = 0 ? Select all that apply. Op"(x) is positive Op'(x) is increasing p"(x) is negative p'(x) is decreasing

Q: 4. Find the slope of the tangent line to the graph f(x) = 3x² +4 at the point (2, 16) and determine…

A:

Q: Find the derivative and don't simplify the answer. y=tan-1(5x4)+(cos-1(x))6

A:

Q: Determine the equation for the tangent to the curve y= sin(2x + π/3) at the point with x-coordinate…

A: Given

Q: How do I find the following derivatives?

A: Using 1 rules of log 2 derivatives of composite functions (chain rule)

Q: ex - 4 f(x) x2 - 1

A: see 2nd step

Q: 1. x³ V1 – x2 In x +3' 2.

A: (1).   The given function is: f(x)=x31-x2

Q: 4. Explain the steps to find the derivative of the given function using the first principles y = √√x…

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