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Answer is 2x - 4. This is found by following the standard differentiation procedure of n(ax-b)^n-1 where n was the previous power and a and b are the value inside the bracket. This means that it first goes t...

Expand to get xy+3y-4x-12=x^2+y^2Rearrange to xy+3y-4x-12-x^2-y^2 Then you have to differentiate implicitly: use product rule on xy to get:u = x v =ydu = 1 dv = dy/dx so xy differentiates to xdy/dx + y Then ...

Substitute f(x) = 53 into the equation given:f(x) = 53 = 2x 2 + 32). 2. Rearrange to get x 2 on the left hand side: x 2 = (53-3)/2 = 253). 3. Square root both sides. Remember, the answer can be positive or n...

Indices are often referred to as powers of a number. A power of a number is the number of times you multiply that number by itself. The indices laws are the rules for how these numbers can be manipulated to ...

First, we factorize each number.150=(5^2) 3 2 and 100=(2^2)*(5^2) then to calculate the highest common factor we take the common factors with the smallest powers. In this case (5^2) and 2. That means that th...