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Differentiation

Question

Find out the derivative of the following functions.

  1. y = 3x
  2. y = x3
  3. y = 1
Answer

  1. 3
  2. 3x2
  3. 0
Notes:

Constant Rule
y = k (k is a constant)
dy/dx = 0

Constant Multiple Rule
y = kxn (k & n are both constant)
dy/dx = knxn-1

Sum Rule
y = f(x) + g(x)
dy/dx = f'(x) + g'(x)

Power rule
y = xn
dy/dx = nxn-1

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