At maximum or minimum values, the gradient is 0.

Therefore, f(x) = 0.

Solve the equation 0=2x^2+7x+3

You should get one or two values for x.

Substitute these values into the equation of the line, and theres your points.How do I figure out the maximum or minimum value of f(x)=2x^2+7x+3?

a) draw the curve on a piece of paper

b) since the curve is open at the top it has only a minimum

How to find a minimum??

a) a minimum occurs with this type of curve when the slope = 0

b) to find the slope derive f(x)=2x^2+7x+3

f'(x) = 4x + 7

for which value of x, 4x + 7=0

and you are done.

How do I figure out the maximum or minimum value of f(x)=2x^2+7x+3?

find the value of x when

df(x)/dx=0

then sub that into

d^2f(x)/dx^2

if that comes out neagtive its a max, if positive its a min

hope that helps

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