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Given f(x) = (x^(2)+(3*x)+1)/(x^(2)+(5*x)+8), find f'(x) and simplify your answer.

Taking: f(x) = (x^(2)+(3 x)+1)/(x^(2)+(5 x)+8) An application of the quotient rule of differentiation is required. This rule is given as: Where g(x) = u(x)/v(x), g'(x) = ((u'(x) v(x))-(v'(x) u(x)))/(v(x)^(2)...
AM
Answered by Andrew M. • Maths tutor
1963 Views

Rearrange the following to make m the subject. 4(m – 2) = t (5m + 3)

In this equation we have two variables (meaning a symbol - usually denoted by a letter - which represents varying values) ‘m’, and ’t’. The question is asking us to make m the subject of this equation which ...
HG
Answered by Harry G. • Maths tutor
3745 Views

What is differentiation?

Differentiation is a method used to find the rate of change of a function with respect to a given variable, eg. how f(x) changes with respect to x. There are different ways to find the derivative of a functi...
HT
Answered by Harry T. • Maths tutor
4034 Views

Find the derivative of A^4 + 2A^2 - 3A + 4

Ask if they have found derivations before.If not:When we differentiate a polynomial like this by using the fact that:The derivative of A^x is xA^(x-1).So, we multiply the unknown variable, A, by the power an...
JM
Answered by Jake M. • Maths tutor
3667 Views

(given a graph with a straight line and 2 labelled points) Find the equation of the line.

Every straight line can be written in the form y=mx+c.(If they seem completely unfamiliar with concept):M is known as the gradient of the line, which says how steep the line is. The bigger the number, the st...
JM
Answered by Jake M. • Maths tutor
3264 Views