Question

Can someone help me here please!thank you so much​ (with complete solution)​

Answer 1

1. 4x +6
2. 8x -6
3. 6x -5

Explanation:

You want the derivatives of the three quadratic functions given.

1. f(x) = 2x² +6x -3
2. f(x) = 4x² -6x +2
3. f(x) = 3x² -5x +3

Derivative

The derivative of the terms of a polynomial can be found using the power rule:

`(d)/(dx)x^n=n\cdot x^(n-1)`

When this rule is applied to a quadratic, it looks like this:

f(x) = ax² +bx +c

f'(x) = 2ax +b

1. f(x) = 2x² +6x -3

f'(x) = 2·2x +6

f'(x) = 4x +6

2. f(x) = 4x² -6x +2

f'(x) = 2·4x -6

f'(x) = 8x -6

3. f(x) = 3x² -5x +3

f'(x) = 2·3x -5

f'(x) = 6x -5

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