The solution is a half page Word attachment with equations written in Mathtype. Each step is explained. The question is quite standard, but is a nice example because it involves several common techniques of differentiation (chain rule, product rule, rewriting square roots as radical powers) and algebraic manipulation (combining fractions over a common denominator, factoring quadratics)

... 2. Use implicit differentiation to find the derivative dy/dx. ... Additionally, determine the domain and range for all four ... rates and the rate that is to be found. ...

... b) Using the result of (a), find the derivative ... question, you may use the following differentiation rules and ... In each case, state the domain of the derivative. ...

... has an inverse and how to find the domain of the ... Satisfy Condition 2) By finding the derivative for the circle using implicit differentiation. ...

...Find the extrema and sketch the graph of f ... This implies the function has positive derivative for all real ... function will have extrema only if the domain is taken ...

... The ones who move beyond the core product - into the domain of the ...Find ways to appeal to the higher order needs of the ... This is the essence of differentiation. ...

... Answer: 64 x 3 − 72 x 2 + 10 x + 4. 4. Find the derivative of the function "y" shown below. ... Let us find domain of the function Put denominator equal to 0. ...

... Reason: take derivative of f(x) to get f'(x)=8x-16 and do again f ... The solution gives detailed step on finding intercept, domain, asymptotes, inequality ...

... dr r r Thus, S(r) is positive throughout the domain. ... a vertical line at t = x. (a) Find a formula ... figure below shows the graph of the derivative of a ...

... rather than attempting to solve symbolically), find a value ... 0. (iii) Verify, by the Second Derivative Test, that ... also an overall maximum within the domain of A ...