If given f(3) = -1 and f'(3)=5, the tangent line to the graph y = f(x) at x=3 is y = 5x +16. (a) TRUE (b) FALSE

Q: Suppose f(r) = 3r +6 (a) Find the slope of the function's graph at z = 5. Slope f'(5) = (b) Find an…

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Q: Find the slope of the line tangent to the graph of f(x) = 1/(2x−3) at the point x = 1 and please…

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Q: (6) Consider the function h(x) = V – 5.x + 10. (a) Compute the derivative '(r). (b) Find the…

A: Given that, h(x) = x2-5x+10                                       ...........(1)   Ans(a). We have…

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: Find an equation of the tangent line to the graph of f(x) = 4 - x2 at the point (-1,3).

A: Solve for the equation

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: f(x) = (4x + 1)2;    (0, 1) (a) Find an equation of the tangent line to the graph of the function at…

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Q: compute the derivative f (x) = 9e−4x

A: Consider the function f (x) = 9e−4x

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: From a function f(x) = 5000 x2 - 7000x + 12000   Find the first and second derivatives

A: dxndx = nxn-1 dcfxdx = c df(x)dx ; where 'c' is constant.

Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

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Q: f(x) = x3 + x + 6;    (−2, −4) (a) Find an equation of the tangent line to the graph of the…

A: f(x) = x3 + x + 6Recall the famous rule of differentiation: d(xn) / dx = nxn-1