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# Derivatives and Tangent Lines (8 Problems)

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Find the Derivative y'(x) implicitly.

1) 3xy³-4x = 10yy²

2) sinxy= x² - 3

3) 3x+y³-4y = 10x²

4) xe^(power y) -3ysinx = 1

5) cos y - y² = 8

6) e^x² - 3y = x² + 1

Find the Equation of the Tangent Line at the Given Point.

7) x³ - 4y² = 4 at ( 2,1)

8) x³y² = -3xy at (-1, -3)

https://brainmass.com/math/derivatives/derivatives-tangent-lines-problems-32898

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Derivatives and Tangent Lines Question
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Find the Derivative y'(x) implicitly.

1) 3xy³-4x = 10yy²
Take derivative on both sides, we have

2) sinxy= x² - 3
Take derivative on both sides, we have

3) ...

#### Solution Summary

Derivatives and Tangent Lines are investigated.

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