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Differentiate 3x^(2)+xy+y^(2)=12 with respect to x

this is implicit differentiation. We start by differentiating 3x^(2) to get 6x (lower the power by 1, multiply by the original power). For xy, we use the product rule, giving us y + (x)dy/dx (this is the imp...
NL
Answered by Noyonika L. • Maths tutor
4731 Views

What is the body analogy?

The body analogy is used by the Functionalists to show the way in which society functions as an organism. It argues that society is made up of various institutions that act as vital organs and enable society...
IE
Answered by Imogen E. • Sociology tutor
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How do I use the product rule for derivatives?

Imagine a function f(x)=g(x)*h(x) [that is, two functions multiplied together] To find the derivative, f'(x)=g'(x)*h(x) + g(x)*h'(x) For example, f(x) = (3x 2 )*(cos x ) [g(x)=3x 2 , h(x)=cosx] f'(x) = (6x) ...
JW
Answered by James W. • Maths tutor
4263 Views

Solve 3(3x - 2) = 5x + 10

9x - 6 = 5x + 10 9x - 6 - 5x = 5x + 10 - 5x 4x - 6 = 10 4x - 6 + 6 = 10 + 6 4x = 16 x = 16/4 = 4
SP
Answered by Suraj P. • Maths tutor
4920 Views

How can we calculate the sinus of 120°?

We can observe that120° represents the sum of two common angles: 30° and 90°. So we can rewrite sin(120°) as sin(30°+90°). Now we are going to use this trigonometric formula in order to calculate the sinuns:...
MM
Answered by Monica M. • Maths tutor
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