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Find the coordinates that correspond to the maximum point of the following equation: y = −16x^2 + 160x - 256

To solve this problem, the maximum and minimum points of equations can be deduced through the differentiation process. This looks at the gradient of the function and the maximum/minimum value occurs when the...
MW
Answered by Michael W. • Maths tutor
3640 Views

Find the factors of x^3−7x−6

To find the factors of x 3 -7x-6, a method called equating coefficients can be used. Firstly, set the equation to zero and find a suitable number which satisfies the equation, in this case x=-1 satisfies the...
MW
Answered by Michael W. • Maths tutor
12980 Views

simultaneous equations - 2x + y = 7 and 3x -y = 8

there are a few main ways to solve simultaneous equations: find an equal like term. In this case y and add or subtract the two equations together to isolate one of x or y. Another way of solving simultaneous...
JM
Answered by Josh M. • Maths tutor
6605 Views

What is the value of x if x^2 - 3x +2=0?

This question can be difficult to see where to start, but can be quite easily solved once you realise what you have to do Firstly, let ax 2 + bx + c =0. If this is also true, a=1, b= -3, and c=2. Firstly, fi...
CS
Answered by Charlotte S. • Maths tutor
3651 Views

Differentiate a^x with respect to x

y=a^x take natural logs (also written as ln or log base e) of both sides lny=lna^x by logarithms rules lna^x=xlna lny=xlna Now differentiate implicitly 1/y = (dx/dy)lna Note here lna is just a constant, then...
JM
Answered by James M. • Maths tutor
43174 Views