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You have to understand what makes an expression even. Even numbers are formed by either two odd numbers being added together or an even number x an odd number. We can start by looking at the denominator. Imm...

1.Isolate either x or y. in this example you can do this by moving adding y to both sides of the second equation x-y=6 becomes x=6+y 2.substitute this into the other equation 2(6+y) + y = 18 3.simplify this ...

First step is to multiply coefficient of first term (2) with the constant (-12) to enable us to split the middle term.2*(-12) = -24, therefore we need to find two numbers that multiply to -24, and add to giv...

u = ln (x+1) v = sin x du/dx = 1/(x+1) dv/dx = cos x Therefore, by the product rule, dy/dx = [sin x / x+1] + [ln (x+1) cos x]

To find the gradient of the curve we must differentiate the function. The function is in the form of a quotient, y=u/v, where u and v are functions of x. Therefore, we can use the quotient rule, dy/dx = (v (...