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 ...

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

... implicitly and (b) by explicitly solving for y and then differentiating. ... point using your results from both the implicit and the ... (a). Differentiate on each side. ...

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

...differentiation: Applying chain rule, and differentiating on both ... a) Use implicit differentiation to find ... slope of the tangent line: Differentiate with respect ...

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... Complete, Neat and Step-by-step Solutions are provided in this solution for differentiating algebraic functions. ... Use implicit differentiation to find the dy/ ...