Given: f(x) = 3x² a) Show the steps of how you find the limit of the difference quotient to find the slope. Use the following formula. f(x+h)-f(x) h lim h→0 b) Find the equation of the tangent line of this function at ( 2, 12).

Q: Write the equation to the tangent line to the graph of f (x) = In( x² – 3) at the point (2,0) -

A: Using formula of equation of tangent line to the graph

Q: Use the limit definition to find the slope of the tangent line to the graph off at the given point.…

A: Given that ,  f(x) = 9x+9  at the point   (1,18) To find the slope of the tangent line to the graph…

Q: Use the limit definition to find the slope of the tangent line to the graph of f at the given point.…

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Q: Explain the relationship between the following slope of tangent line formulas. How are they similar?…

A: The relationship between the following slope of tangent lin formulas. Use both to solve for f(x) =…

Q: f(x) = x? + 5æ + 7 Find the slope of the tangent line at x = 5. Tangent slope:

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Q: Find the point(s) on the curve where the tangent line is horizontal i.e. slope is zero). 3 (x+x²' f…

A: Solution below  Slope is zero at a point where dy/dx=0

Q: Consider the function f(x) = 1/3x3 + 3/2x2 - 4x. At which point(s) is the slope of the tangent line…

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Q: Let f(x) : x4 Find all values of I such that the slope of the tangent line is - -4.

A: The given function is fx=1x4 and the slope of the tangent line is -4.