(15.) For functions f and g, f(g(x))= x. If f(12) 3 and f'(12)= find the equation of the tangent line to g(x) at x 3.

Q: g(x) = 1.1x + ex   , (0,1) Find an equation of the tangent line to the graph of the function at the…

A: Equation of tangent line when the slope and points are known: where x1 ,y1 represents the given…

Q: 27. y = x²(1 - In x²)

A: To find the derivative of the following function.

Q: Use the figure below to calculate the derivative, g' (7) if g (x) = f¬1 (x). (2.1,7.4), f(x) (2 ,7 )…

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Q: If g' (x) = f(x) with g(-5) = a, g(-–3) = b, g(-2) = c, and 1 f 3 g(6) = d. , express the value of…

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Q: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…

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Q: a) Find an equation of the tangent line to the curve. y=f(x)3x2-4x at x = 2. b) Find the derivative…

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

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Q: Determine an equation for the tangent line to f-(x) at (4, 7) given that y-4= (x - 7) is an equation…

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

A: see 2nd step

Q: Suppose f(5) - 9 and f'(5) = = - 3. - An object moves along the curve y³ - 3x² f(x) = 5x = 649. For…

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