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Composition of functions is when one function is inside of another function. That is, we replace each occurrence of x found in the outside function with the inside function. In our example, we start by wr...
y = x^3+3x-2dy/dx = 3x^2-2Stationary points when dy/dx = 00 = 3x^2-22 = 3x^2+-root2 = 3x+-root2/3 = x
4^(n)-1 factors to (2^(n)-1)(2^(n)+1) by difference of two squares by definition of a prime (only has factors 1 and itself (given that itself isn't 1))So Exactly one of the brackets should = 1 for 4^(n)-1...
We use a typical rule for polynomials in the form y = axb , where a and b are real numbers. Also, for a polynomial equation y = axb +cxJCAnswered by Jamie C. • Maths tutor5235 Views
ex sin(x) is a product of two functions: ex and sin(x). This means we can use the product rule.Let ex = u and sin(x) = vThe differential of uv is u'v + v'u whe...
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