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Q: What is the y in a derivative of the function yx3-13x2 16x 5?

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16x + 5 can't be solved any further without more information.

The derivative if a function is basically it's slope, or its rate of change. An example is the function y = 4x - 6. This is a line with a slope of 4. The derivative is y' = 4. Another example is the function y = 3x2. This is a parabola with a vertex at (0,0). Its derivative is y' = 6x. At x = 0, the slope of the parabola is 6*0, which is 0, since this is the vertex of the parabola. To the left, at x is -4 for example, the derivative (and therefore slope) is negative. To the right, at x = 5 for example, the derivative is positive. The farther away from the vertex, the greater the value of the derivative so the the slope of the function increases as you move away from the vertex (it gets steeper).

The given expressions can be simplified to: 16x-10

16X + 5

80. You have to multiply 16 by 5.

The derivative of 5x is 5.

15x2+16x-15 = (3x+5)(5x-3) when factored

It is 16x/5 or 3.2x

You can take out any constant from a derivative. In other words, this is the same as 5 times the derivative of sec x.

16x = -5 x = -.3125

(3x + 1)(x + 5)

4x2(4x3 + 3)

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