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Derivative 3 plus 2 x - 4 x2?
y = 3 + 2x - 4x^(2) dy/dx = 2 - 8x ( The derivative).
What is the derivative of y equals the quantity 2x plus 5 raised to 8 plus 4x all raised to3?
I am interpreting this as: Find the derivative of: y=((2x+5)8+4x)3 To find the derivative (y'), the chain rule must be applied. The "outermost" function of this compound function is t3 (t being an arbitrary quantity). The derivative of t3 is 3t2 * dt, where "dt" is the derivative of the quantity "t". Applying this, we arrive at a working definition of y': y' = 3((2x+5)8+4x)2(derivative of (2x+5)8+4x) The derivative of (2x+5)8+4x is found using basic derivative definitions and the chain rule again: 8(2x+5)7(2)+4 = 16(2x+5)7+4 So now we can write y' again: y'= 3((2x+5)8+4x)2(16(2x+5)7+4) = 48((2x+5)8+4x)2((2x+5)7+4) This can be further simplified, but this is an arduous process. If you need further simplification, feel free to contact me via private message.
What is 4x plus 3 plus 2x?
4x plus 3 plus 2x is equivalent to expression 6x plus 3.
What is (2x plus 3) (x plus 1)?
(2x + 3)(x + 1 ) = 2x^2 +5x +3
Limit as x approches -1 of x3 plus x2 plus 3x plus 3 divided by x4 plus x3 plus 2x plus 2?
lim (x3 + x2 + 3x + 3) / (x4 + x3 + 2x + 2)x > -1From the cave of the ancient stone tablets, we cleared away several feet of cobwebs and unearthed"l'Hospital's" rule: If substitution of the limit results in ( 0/0 ), then the limit is equal to the(limit of the derivative of the numerator) divided by (limit of the derivative of the denominator).(3x2 + 2x + 3) / (4x3 + 3x2 + 2) evaluated at (x = -1) is:(3 - 2 + 3) / (-4 + 3 + 2) = 4 / 1 = 1
