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There are two methods for solving this question. Firstly, the inspection method, and then the chain rule method.Using the inspection method, we differentiate the outer function first. Multiply the functio...

From circle theorems, the tangent to a circle is perpendicular to the radius, and so to find the tangent we can use the gradient of the radius connecting the point (-3, -4) to the centre of the circle and...

(6² + 8²)^1/2 = (125a³ )^1/3(36+62)^1/2 = (125a³ )^1/3100^1/2 = (125a³ )^1/3+/- 10 = (125...

Observing that 48 = 24 * 2 = 1222 = 443, we can write square root of 48 as being square root of 443, which means that sqrt(48) = 22sqrt(3).Now, we can multiply the new ...

x(x-4)+y(y+6)+4=0x^2-4x+y^2+6y+4=0x^2-4x+4+y^2+6y+9=9(x-2)^2+(y+3)^2=9=3^2centre (2,-3) radius 3