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(Introduction)Shelley's 'Ozymandias', adhering to the literary themes typical of the Romantic movement, heavily contrasts the relationship between the timeless power of nature with the futile efforts, boa...

Both models of the different ways markets can be defined are both ends of the spectrum of how markets operate.The key differences between perfectly competitive markets and monopolies are found in the diff...

To answer this we will use implicit differentiation with respect to x. So start by differentiating each term. On the left hand side 0 differentiates to 0. On the right hand side 5x² differentia...

Since f(x) is a product of the two functions e^x and sin(x^2), we can use the product rule which states that if f(x)=g(x)h(x), then f'(x)=g'(x)h(x)+g(x)h'(x). Let g(x)=e^x and h(x)=sin(x^2). Since the dif...

ln is the natural log. The thing to remember with differentiating natural log is the simple formula U'/U. The U is whatever is in the brackets. This means we differentiate X^2 and divide it by X^2. X^2 ...