how would you differentiate this problem y 7x12 5x21Solut
how would you differentiate this problem:
 
y = - 7/x^1.2 + 5/x^-2.1
y = - 7/x^1.2 + 5/x^-2.1
Solution
y = -7/x^(1.2) + 5/x^(-2.1)
y = -7x^(-1.2) + 5x^(2.1)
Use the Power Rule to find y\':
y\' = -1.2(-7)x^(-1.2 - 1) + 2.1(5)x^(2.1 - 1)
y\' = 8.4x^(-2.2) + 10.5x^(1.1)
y\' = 8.4/x^(2.2) + 10.5x^(1.1)
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