1. Determine dy/dx for each of the following relations.
a) 6x^2-3y^2=5
b) y^3+x^2-2x^2=0

2. Determine the slope of the curve 2x3+2y3-9xy=0 at the point (1,2).

3. Find dy for the relation 4x2+y2=16 using each of the following methods.
i) Solve for y explicitly as a function of x. Then, differentiate with respect to x.
ii) Use Implicit Differentiation to differentiate with respect to x.

4. Find the derivative for the following functions:
a) y=(2x2-x)(3x2+5)8
b) y= this whole fraction is to have brackets around it. [(t^2-6t) / (t^2 +6t)]^8

...differentiation differentiating Implicit differentiation is a technique based on the Chain Rule that keep in mind the allows us to differentiate equations ...

... derivative of the following functions dy/dx, by the method of implicit differentiation: i) (x ...Differentiating implicitly is modeled in an attached Word document ...

... dy/dx by implicit differentiation. Solution: Before we differentiate, rewrite the equation using negative exponents: 5x-3 + 5y-3 = 7. Differentiating both sides ...

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... sides, we obtain piecewise that are easier to differentiate. 2. Then to find By differentiating we obtain , we follow the or implicit differentiation techniques ...

... The expert examines implicit differentiation for the slope of a curve and equation. Solution: Differentiate both the sides with respect to x, we will get. ...

... Use implicit differentiation to find an equation of the line tangent to 3 3 the curve x + 2xy + y = 13 at the point (1, 2). Differentiating the given curve ...