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Complete the table to find the derivative 0f the function_Original FunctionRewriteDifferentiateSimplifyNeed Help?Rualn[-/1 Points]DETAILSFind the derivative of the ...

Question

Complete the table to find the derivative 0f the function_Original FunctionRewriteDifferentiateSimplifyNeed Help?Rualn[-/1 Points]DETAILSFind the derivative of the function flx)

Complete the table to find the derivative 0f the function_ Original Function Rewrite Differentiate Simplify Need Help? Rualn [-/1 Points] DETAILS Find the derivative of the function flx)



Answers

Complete the table to find the derivative of the function without using the Quotient Rule. Function - Rewrite - Differentiate - Simplify $$y=\frac{2 x}{x^{1 / 3}}$$

All right. In this problem we want to find the derivative of the function. Why equals 3/2 extra. Let this question is challenging understanding of derivative shortcuts and how to use such short justifying derivatives in place of the limit definition we've learned previously. So with that in my way to know what differentiation shortcuts we've learned that can get us in this problem. These are one through six, the constant little multiple rule, powerful trigger rule, exponential role in some role respectively. So to solve this problem, we need to note that why it can be easy written in a form that's more easy to differentiate. That form is Y equals three X negative fourth. Where we put X to the fourth in the numerator. Now, so with this form we see that we're going to use the power role in conjunction with the multiple will solve. So this gives you I. D. X equals three half times negative for xnegative fifth simplifying, we have negative six X negative 50 or negative six over X to the fifth.

In this problem, we want to find the derivative of the function why equals square root X or X. This question is challenging an understanding of how to find the derivative of a function. In particular how to use differentiation shortcuts to find derivatives have approached the traditional limit definition. So in order so we need to know what differentiation shortcuts we have available. These are one through six as follows, the constant rule, multiple rule, power rule, trigger rule, exponential rule and some are respectively. So if we write why in a more easily differentiable form, you can proceed to solve these holes. The form that works best is why equals X over to one half over X or actually one half times Xnegative first equals explanation. Would have. Now we see with expert in this former wiring in this form, how it doesn't rely on the power will to solve this gives dy dx equals D d x X negative one half equals negative one half. Xnegative rehabs or negative 1/2. Actually three hats

Wow in this problem we want to find the derivative of the function. Why equals four X. The negative three. So this question is challenging an understanding of the derivative in particular how to find the derivative of a function using different shortcuts rather than the traditional limit definition we find previously. So to solve what we need to do is use the shortcut that we've gained. These are one through six. The constant rule, multiple rule, power rule, trade rules, exponential rule and some will, respectively. If we rewrite why? In a more easily differential form we can solve using these rules. So rewriting we have why equals four X. The third. Four over extensive. Third is equivalently four times X to the positive three. So we see that we can use the multiple rule in conjunction with the power role. Now to solve thus we have D I d X equals four times dx execute, which is four times three X squared by the power rule. Thus we simplify as dy dx equals 12 X square

In this problem we want to find the derivative of the given function. Why equals pi over the quantity three X squared. This question is showing your understanding of differentiation in particular how to find derivatives using derivative shortcuts as opposed to the traditional limit definition we've learned previously. So with that in mind, let's note the derivative shortcuts we've learned thus far that can help us solve this problem. These are one through six as follows. These are respectively the constant rule multiple rule, power rule, strict moral exponential rule in some role. To solve, we can firstly right Why? In a form that's more easy to differentiate and then we'll know what rules will allow us to solve. So we can rewrite why as pie over nine X. Weird or pie over nine actually negative second. Thus we differentiate using the power rule three. And the multiple rule too. So that gives dy dx equals by over 90 xx in in a second or pie over nine times negative two X m 83. This has final solution negative to pi over nine execute


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