How do you find the maximum value of #f(x) = 3x^2 +30x 50#?
Maximum value of
2nd derivative test for maximum or minimum :
graph{3x^2+30x50 [50.64, 50.6, 25.28, 25.37]} [Ans]
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To find the maximum value of ( f(x) = 3x^2 + 30x  50 ), follow these steps:

Identify the coefficient of the quadratic term, ( 3 ), which is negative. This indicates that the parabola opens downwards, meaning it has a maximum value.

To find the xcoordinate of the maximum point, use the formula for the xcoordinate of the vertex of a quadratic function: ( x = \frac{b}{2a} ), where ( a = 3 ) and ( b = 30 ).

Substitute the values of ( a ) and ( b ) into the formula: ( x = \frac{30}{2(3)} ).

Calculate ( x ) to find the xcoordinate of the vertex.

Once you have the xcoordinate of the vertex, substitute it back into the original function ( f(x) ) to find the corresponding ycoordinate.

The ycoordinate of the vertex gives the maximum value of the function ( f(x) ).
Follow these steps to determine the maximum value of the function ( f(x) = 3x^2 + 30x  50 ).
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To find the maximum value of ( f(x) = 3x^2 + 30x  50 ), you can follow these steps:
 Identify the coefficient of the quadratic term (( x^2 )), which is 3 in this case.
 Determine the xcoordinate of the vertex using the formula ( x = \frac{b}{2a} ), where ( a = 3 ) and ( b = 30 ).
 Calculate the xcoordinate of the vertex using the formula from step 2.
 Substitute the xcoordinate of the vertex into the original function to find the maximum value of f(x).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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