Use Log rules to rewrite the natural log ln(x²y) = 2-x² 2lnx + lny = 2 - x² (isolate y for later not necessary) lny = 2 - x² - 2lnx y = e^(2 - x² - 2lnx) Implicitly differentiate. 2/x + y'/y = 0 - 2x y'/y = -2x - 2/x y' = y(-2x-2/x)...
The given expression shows that it is an example of implicit differentiation. We will differentiate the given expression with respect to x using multiplication rule of differentiation and chain rule of differentiation to get the desired result. Answer and Explanation: We need to find dydx. Differen...
Evaluate the following exponentials. You may need to use a calculator with a Y^x key. Example: X ^{-1/4}. If X = 16, this gives 0.5. Compute to two decimal places or more. a. X^{-1/3}, when X = 3, this gives [{Blank}], b. X^1, when X = 2, thi...
Find the equation of the tangent line to the curve R(x)= \frac{x^2-2x-8}{x^2-9} at the point where x=0. Use your calculator to graph y=R(x) and the tangent line equation. Find an equation of the tangent line to the graph of the functio...
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The exact value of tan 90° is: Tan 90 Degree = Not Defined Note: Tan 90 = Cot 0 = ∞ How to Find Value of Tan 90 As discussed, when we speak about trigonometry, Sine, Cosine and Tangent are the principle trigonometric functions. Let us give a brief about all three functions or ...
Finding the Derivatives of a Function | Checking the Candidate Inflection Points | Troubleshooting | Using a Scientific Calculator | Video | Q&A | Tips You just learned about inflection points in calculus and now you’ve got a bunch of math problems asking you to find them. You’ve got a ...
Find the following limit: {eq}\lim_{y \to -3} \frac{2}{y + 8} {/eq} Limits: The limit represents the value that a function approaches as the function's input approach some given value. It is an open interval ofy, which containsa, but whereydoes not equala. It is commonl...