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given that the chain rule is d/dx(f(g(x))) = g'(x)f'(g(x))given that the product rule is d/dx(f(x)g(x)) = f'(x)g(x) + f(x)g'(x)given that the quotient rule is d/dx(f(x)/g(x)) = (g(x)f'(x) - g'(x)f(x))/(g(...

For a curve of f(x) against x, we can take the general point (x, f(x)) on the curve. By moving horizontally along the x-axis a distance of h, we also have the point (x+h, f(x+h)) on the curve. The gradien...

To simplify the question, the denominator can be rounded to 0.02 (to find an estimate), which comes out to be 1.1/0.02=55, which suggests that the answer is between 50 and 60, and not the other two.Now, a...

It may seem confusing at first, but once you know the basics all you need to do is ask yourself what the purpose of the word is in your sentence. ‘A’ functions as the verb in the sentence...

The surface area of a sphere can be calculated using Area = 4 x Pi x r^2. Since we know the surface are of the first sphere is 4m^2, we can write: 4 = 4 x Pi x r^2. This simplifies to r^2 = 0.318. Taking ...