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First of all expand the brackets in the equation. Then you can differentiate each term with respect to x. As one of the terms will be a product of x and y the product rule must be used to find the differe...

(1+x)^3 = x^3 + 3x^2 + 3x + 1 (Can be calculated straight away by binomial method or by multiplying brackets individually)
if (1+x)^3 > 1 + 3x^2 + x^3then: x^3 + 3x^2 + 3x + 1 > 1 + 3x^2 +...

Total of parts: 7+4=11therefore if we divide 88 in 11 “parts” we get each part as 8.hence if x corresponds to 7 parts then x=8X7=56 and if y corresponds to 4 “parts” y=4X8=32THEREFORE: x-y=56-32=24

Similarly to how the digits in decimal represent values of increasing powers of 10 (the far right digit is the number of units, the next digit to the right is the number of 10s, the next digit along is th...

We want to find dy/dx. We find this using the product rule by setting the functions f(x) = x and g(x) = e^2x. With these functions, we can write the equation as y = f(x)g(x), so by applying the ...