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leticia beira
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- Homework Statement
- homework
- Relevant Equations
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Para f (θ) = √3.cos² (θ) + sen (2θ), uma inclinação da reta tangente, uma função em θ = π / 6, é?
Your attachments are not working for some reason. It looks like it might be a file security issue. What format are the files that you are trying to attach?leticia beira said:Homework Statement:: homework
Relevant Equations:: --
For f (θ) = √3.cos² (θ) + sen (2θ), a slope of the tangent line, a function at θ = π / 6, is it?
I don't think there is an attachment, other than possibly the translation from Portuguese to English.berkeman said:Your attachments are not working for some reason. It looks like it might be a file security issue. What format are the files that you are trying to attach?
The derivative of a function is the rate of change of that function at a specific point. It represents the slope of the tangent line to the function at that point.
To find the derivative of a trigonometric function, you can use the basic rules of differentiation, such as the power rule, product rule, and chain rule. You can also use the specific derivatives of trigonometric functions, such as sin(x)' = cos(x) and cos(x)' = -sin(x).
The process for finding the derivative of a trigonometric function involves using the basic rules of differentiation and the specific derivatives of trigonometric functions. You also need to identify the trigonometric function and its argument, and then apply the appropriate rule.
Sure, let's find the derivative of f(x) = 2sin(x). First, we identify the trigonometric function (sin) and its argument (x). Then, we use the specific derivative of sin(x)' = cos(x). Finally, we apply the constant multiple rule to get f'(x) = 2cos(x).
Finding the derivative of a trigonometric function is important because it allows us to analyze the behavior of the function, such as identifying critical points, finding the maximum and minimum values, and determining the concavity of the graph. It is also essential in many real-world applications, such as physics, engineering, and economics.