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How do I find and determine the nature of stationary points of a function?

There are 3 types of stationary points for functions: a maxima, a minima and a saddle point. They all occur when the derivative of a function, f(x), is equal to 0, e.g. f'(x)=0. Therefore in order to find...

Answered by Ben D. Maths tutor
8110 Views

Use the Chain Rule to differentiate the following equation: y=e^(3-2x)

Chain Rule: dy/dx = dy/du x du/dxy=e3-2xSubstitute u for the power (3-2x) y = eu u = 3-2xdy/du = eu du/dx = -2dy/dx = -2eu = -2e3-2x

Answered by Jordan W. Maths tutor
3324 Views

0.15^2 x (1-0.15)^3 to 2 s.f

BIDMASFirst must donwhat is inside the brackets1-0.15 = 0.85Next must do the indices 0.85^3= 0.6141250.15^2 =0.0225Then multiply0.0225 x 0.614125 = 0.01381781shorten to 2 s.f0.014

Answered by Francesca M. Maths tutor
2311 Views

The population of a town in 2014 was 80058. This was a 65% increase on its population in 1994. What was the population in 1994?

Firstly, look at what the question is asking you to find out. You need to work out the population from 1994. You are told that there was an increase from 1994 to 2014. Therefore you can take the populatio...

Answered by Clare M. Maths tutor
3389 Views

The equation of Line 1 is y= 3x-2, and the equation of Line 2 is 5= 9x- 3y. Are the two lines parallel?

The equation of a line is given by the formula y= mx + c. Here, 'm' is the gradient of the line, and 'c' is the y intercept: where the line crosses the y axis. If two lines are parallel, then they must ha...

Answered by Emily M. Maths tutor
3806 Views

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