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How can I sketch a graph?

There are a number of steps before sketching a graph. We will look over bits of theory and then do some examples (I'll show the examples in the online lesson space) First we have to find the x-intercept and ...
RT
Answered by Razvan T. • Maths tutor
3795 Views

If y = exp(x^2), find dy/dx

Recall that the derivative of exp(x) is exp(x), but notice this question is slightly more complex due to the x^2 term. This is example of differentiationg composite functions, and so the chain rule is requir...
SB
Answered by Stuart B. • Maths tutor
8529 Views

What is the perimeter and area of a rectangle with a length of 8cm and width of 3cm?

The perimeter is the distance around the rectangle. A rectangle has 4 sides: 2 of them will be the length (8cm) and 2 of them the width (3cm). To get the perimeter, you add up 2 of the length and 2 of the wi...
EL
Answered by Emma L. • Maths tutor
31933 Views

Solve this equation: 3x-10=12x-7

Firstly, get all of the x's onto one side of the equation and all of the numbers onto the other. To make it easier at the end, subtract the smaller value of x so that it doesn't become negative: 3x-10=12x-7 ...
EL
Answered by Emma L. • Maths tutor
3394 Views

Simplify (5/x+1) + (6/x-5)

To combine these two fractions into one, you have to multiply the equation by the denominators in order to make a common denominator: 5(x-5)/(x+1)(x-5) + 6(x+1)/(x+1)(x-5) Now that the denominators are the s...
EL
Answered by Emma L. • Maths tutor
3412 Views