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The sum rule of differentiation states that the derivative of the sum of a function f and a function g is the same as the

  1. The sum rule of differentiation states that the derivative of the sum of a function f and a function g is the same as the sum of derivative of f and the derivative of g.(1 Point)
  2. True
  3. False

2.Differential calculus focus es on rates of change, such as slopes of tangent lines, velocities, and acceleration.(1 Point)

  1. True
  2. False

3. Constant multiple rule of differentiation states that the derivative of a constant times a function equals the constant plus the derivative of the function.(1 Point)

  1. True
  2. False

4. Constant rule of differentiation states that the derivative of a constant function is zero or the derivative of any constant is zero.(1 Point)

  1. True
  2. False

5. The product rule of differentiation states that the derivative of a product of two function is the derivative of the first function times the second function minus the derivative of the second function times the first function.(1 Point)

  1. True
  2. False

6. Find y' if y= arc sin cos x

  1. 1
  2. -1
  3. -2
  4. 2

7. The derivative with respect to x of

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