There should not be any y in the derivative itself since y or y(x) is the function whose derivative you are finding.
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16x + 5 can't be solved any further without more information.
The given expressions can be simplified to: 16x-10
16X + 5
It is 16x/5 or 3.2x
To factorise x3 + 5x2 - 16x - 80 I note that -80 = 5 x -16 and 5 & -16 are the coefficients of x2 and x. Thus I have: x3 + 5x2 - 16x - 80 = (x + 5)(x2 - 16) and the second term is a difference of 2 squares, meaning I have: x3 + 5x2 - 16x - 80 = (x + 5)(x + 4)(x - 4)
16x + 2 - 8 = 16x + 24 implies 16x - 6 = 16x + 24 subtracting 16x from both sides, this implies: -6 = 24 So the equation has no soultions.
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
80. You have to multiply 16 by 5.
16X + 5
Oh, dude, it's like this - you gotta find two numbers that multiply to -225 (15 * -15) and add up to 16. So, the numbers are 25 and -9. Then you can rewrite the equation as (5x + 25)(3x - 9). And that's how you factor it, easy peasy!
16x = 55Therefore, x = 55/16x = 3.4375
It is 16x/5 or 3.2x
The derivative of 5x is 5.
You can take out any constant from a derivative. In other words, this is the same as 5 times the derivative of sec x.
(3x + 1)(x + 5)