Answer:
Proved
Step-by-step explanation:
Given
Prove that
Multiply the numerator and denominator by 1 + sinx
Combine both fractions to form 1
Expand the denominator using difference of two squares;
The expression becomes
From trigonometry;
The expression becomes
Divide the numerator and the denominator by cos x
Split fraction
From trigonometry;
So;
=
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The differentiation of the given function is expressed as; 2x - √3(y) = 0
<h3>How to carry out Differentiation?</h3>
We want to differentiate the function;
x² - √3(xy) + 2y² = 12
To differentiate this means to express as;
x²(dy/dx) - √3(xy)(dy/dx) + 2y²(dy/dx) = 12(dy/dx)
This gives us;
2x - √3(y) + 0 = 0
2x - √3(y) = 0
Thus, the differentiation of the given function is expressed as;
2x - √3(y) = 0
Read more about Differentiation at; brainly.com/question/12791414
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Energy<span> is the ability to do </span>work<span>. </span>Work<span> done on an object gives the object potential or kinetic </span>energy<span>...
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