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How do I find the limit of a sequence that is expressed as a fraction?

There are a number of ways of looking at the limiting behaviour of a fraction. Let’s look at three examples:1) a(n) = 2n+1/7n —> divide into two separate terms, that both clearly converge. 2) b(n) = 2/( n...
ZS
Answered by Zayn S. • Maths tutor
3448 Views

What is the chain rule?

The chain rule is a rule that is used when calculating the derivative of a function. If you have a function within a function, i.e. f(g(x)), then the derivative is calculated as follows: df/dx = (df/dg) (dg/...
AK
Answered by Arjun K. • Maths tutor
3615 Views

What is the equation of the tangent at the point (2,1) of the curve with equation x^2 + 3x + 4.

dy/dx = 2x + 3, m = dy/dx = 7 Equation of tangent is a straight line hence we use y-y1 = m(x-x1), y-1 = 7(x - 2), y = 7x - 13
BA
Answered by Bishr A. • Maths tutor
3795 Views

(3x+9) (7x+5)

21x^2 + 78x + 45
CA
Answered by Caitlin A. • Maths tutor
3220 Views

How do I find dy/dx for a given equation, once this is found how do I find the value of x such that dy/dx = 0.

From a given equation y = mx + c. Finding dy/dx allows us to see the gradient of the curve. In order to do this we can follow the formula: When y = x n , dy/dx = nx n-1 . Let us use this in a real scenario. ...
SA
Answered by Sebastian A. • Maths tutor
33305 Views