Note:There is no reason to expand the denominator. In fact, doing so will make the derivative harder to work with. Example 2 Supposef(x)=x2+64x+3f(x)=x2+64x+3. Findf′(x)f′(x). Step 1 Differentiate using the quotient rule. The parts inblueblueare related to the numerator. ...
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The sine, cosine and tangent can be defined using these notions of hypothenuse, adjacent side and opposite side. This only defines the sine, cosine and tangent of an acute angle. The sine, cosine and tangent are also defined for non-acute angles. To give the full definition, you will ne...
Range size:The SUMIFS function may not be appropriate for some complicated data analysis scenarios since it can become slow or cumbersome when employed with very big data sets. Multiple criteria are available with the SUMIFS function, but theymight not be able to capture all the subtleties of co...
Link to TOK: Why they would like to use the LC to replace the Paper chromatography? Is there still any use for the Paper chromatography in nowadays? “学会观察生活,从日常生活中就地取材,发挥自己的聪明才智,利用家里的东西自制...
So let's actually do an example. Let's calculate the derivative of e^x from x= -1 to x=1. We're going to use the fundamental theorem of calculus, which says that I need to know the anti-derivative of e^x and evaluate it from -1 to 1. That anti-derivative is just e^x, bec...
Sine and cosine live on the unit circle (radius 1). The other functions use a radius of secant (tan/sec) or cosecant (cot/csc). Q3: What's the swapped function? We make a mini-triangle by shrinking the original triangle down, and rotating so $dx$ matches the side of length $1$...
use the ruler to draw a line to make an angle of 30 degrees. step 4: using a compass, draw an arc on the line of an angle 30 degrees with any length. mark that point as q. step 5: from q, draw a line perpendicular to the base (horizontal line). mark it as r (intersecting ...
Mnemonic devices are great tools to use if you’re trying to improve your memory or looking for tricks to memorize things in an instant. Basically...