3 years ago

Solve this URGENT! Differentiation

Mathematics

1 answer:

Sophie [7]3 years ago

6 0

Instead of using the quotient rule, you can first expand y :

y = (4x - 1)^2 / x ^2 = (16x ^2 - 8x + 1) / x ^2 = 16 - 8/x + 1/x ^2

Then the derivative is

dy/dx = -8/x ^2 - 2/x ^3

The tangent to the curve at (-1, 25) then has a slope or gradient of

dy/dx = -8/(-1)^2 - 2/(-1)^3 = -6

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Answer:

Step-by-step explanation:

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