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How do you find stationary points of an equation, eg. y=x^2+3x+2

Stationary points of an equation are found where the gradient of the tangent at this point equals zero. A diagram can illustrate this. To find them differentiate the given equation (which gives the gradient)...
EC
Answered by Ellie C. • Maths tutor
3797 Views

Solve the equation 3x + 1 = 4x - 2

In order to tackle this equation, we have to keep in mind that whatever we do to one side of the equation we have to do to the other. Our aim is going to be to get all of the x's together on one side of the ...
CW
Answered by Codie W. • Maths tutor
8775 Views

ABC and BCD are two attached triangles, attached along line BC. AB = 5.8cm, AC=5.2cm, BD=4.3cm. Angle BDC = 30 degrees, and angle DCB is a right angle. Calculate angle CBA.

This question teaches the importance of drawing diagrams to figure out what a question is asking, as well as deeply testing how well the student understands trigonometry and equation rearrangement, combining...
CS
Answered by Charles S. • Maths tutor
6662 Views

Find the equation of the tangent to: y = X^2 + 3x + 2 at the point (2,12)

(1) Find the gradient using differentiation (2) If the gradient at (x 1 ,y 1 ) is m,y - y 1 = m(x - x 1 ) (1) We differentiate the given equation:dy/dx = 2x + 3 Then, find the gradient at (2,12). Sub x= 2 in...
SC
Answered by Samuel C. • Maths tutor
4509 Views

Divide £700 in the ratio 5:3:2

The total number of ' parts ' in this ratio is 5+3+2 = 10. So, to work out how much of the total corresponds to 1 part, we need to divide the total sum by the total number of parts: 700/10 = £70. Now, we can...
RB
Answered by Rohan B. • Maths tutor
45915 Views