Which of the following statements is TRUE? a. If f '(3) = 5 and g '(3) = 4, then the graph of f (x) – g(x) has slope of 9 at x = 3. O b. The curve y 2x3 + 4x + 5 has a tangent line with slope of 3x. c. The derivative of y 4x3 + 2x – 1 is y' = 12x² + 2. d. If f is a differentiable function at x = a, then the tangent line to the graph of f at the point (a, f (a)) is given by y + f(a) = f'(a)(x + a).

Q: 2. [4 points] Find the derivative of the following function. 1+2x f(x) 3-4x

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Q: a) If a derivative of the function is given as: f'(x) = 9x² + 16x - 7 i) Find the function f(x) in…

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A: Given that: y=ax2+bx+c passes through (1, 8) and tangent to line y=5x at origin.