# 15 Calc Differentiation questions

1.Which one of the following does not find the value of f ′(3) for f(x) = 3×2 – 4x + 1? (4 points)All of these find the value for f ′(3).2.Use your graphing calculator to find the value of f ′(0) for f(x) = sin(x) + ex. (4 points)012-13.How do Curves A and B compare to each other with respect to f and f ′? (4 points)The answer cannot be determined.f: Curve B, f ′: Curve ANeither Curve A or Curve B are derivatives of each other.f: Curve A, f ′: Curve B4.Find the equation of the line tangent to y = -x2 + 3x + 8 at x = 2. (4 points)y = -2x + 2y = -x + 12y = -x + 2y = -2x – 125.If f(x) = 2a|3x – 9| – ax, where a is some constant not equal to zero, find f ′(3). (4 points)0not enough information1DNE1.Find f'(x) for f(x) = 5×2 − 3x + 12. (4 points)10x + 12−10x − 310x − 3None of these2.Find f ‘(−3), if f(x) = (2×2 − 7x)(−x2 − 7). Round your answer to the nearest integer. Use the hyphen symbol, -, for negative values. (4 points) 3.Find the derivative for . (4 points)4.If f and g are differentiable functions for all real values of x such that f(2) = 5, g(2) = 3, f ‘(2) = 1, g ‘(2) = −2, then find h ‘(2) if h(x) = f(x) g(x). (4 points)13−137−75.Find the coefficient of the squared term in the simplified form for the second derivative, f “(x) for f(x) = (x3 + 3×2 + 3)(3×3 − 6×2 − 8x + 1) . Use the hyphen symbol, -, for negative values. (4 points) 1.If f(x) = (2×3 − 4)6, then what is f ‘(x)? (4 points)21×2(x3 − 4)521×86(2×3 − 4)56(2×3 − 4)5(6×2)2.Find f ‘(x) for . (4 points)f'(x) = cos(3x)3.Is the following true or false? (4 points)TrueFalse4.Find of . (4 points)5.Differentiate y = sin2x − cos2x. (4 points)2sin(x) − 2cos(x)2sin(x) + 2cos(x)4sin(x)cos(x)0