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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 ...

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 soci...

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) = (3x²)*(cos x )     ...

9x - 6 = 5x + 10

9x - 6 - 5x = 5x + 10 - 5x

4x - 6 = 10

4x - 6 + 6 = 10 + 6

4x = 16 

x = 16/4 = 4

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 sinu...