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How do you trace a curve in differential calculus?
To trace a curve using differential calculus, you use the fact that the first derivative of the function is the slope of the curve, and the second derivative is the slope of the first derivative. What this means is that the zeros (roots) of the first derivative give the extrema (max or min) or an inflection point of the function. Evaluating the first derivative function at either side of the zero will tell you whether it is a min/max or inflection point (i.e. if the first derivative is negative on the left of the zero and positive on the right, then the curve has a negative slope, then a min, then a positive slope). The second derivative will tell you if the curve is concave up or concave down by evaluating if the second derivative function is positive or negative before and after extrema.
Why is negative 3 times 4 squared -48?
Order of operation is key. Square first. 4 squared is 16. then multiply 16x-3= -48. A negative times a positive is a negative.
How do you factor the expression two m squared minus eight?
2m^2 - 8 -First you should factor out a two. --> 2(m^2-4) -You now have something squared minus something else squared; You have m squared minus 2 squared. Whenever you have something squared minus something squared as you do in this case, there is a simple rule to remember: You can reduce that expression into the quantity of the square root of the first number or variable plus the square root of the second number or variable Times the quantity of the square root of the first number or variable minus the second number or variable squared. --> In the case of your expression: ----> 2(m+2)(m-2)<-----
How do you solve 2 times negative four squared?
first, you square negative 4. Since negative times negative is positive, then you get positive sixteen., Then positive 16 times two is 32
4.5cm x 3.5cm squared?
There are no parentheses so the order or operations, PEMDAS, means we do exponent first and square the 3.5. So 3.5 squared is 12.25 and now multiply by 4.5 and you have 55.125.If you mean square the quantity, (4.5x3.5) then the answer is different. First we have 4.5x3.5 is 15.75. Now 15.75 squared is3038.77.
