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Write sec x as a function of sines and cosines (in this case, sec x = 1 / cos x). Then use the division formula to take the first derivative. Take the derivative of the first derivative to get the second derivative. Reminder: the derivative of sin x is cos x; the derivative of cos x is - sin x.
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What is the second derivative of ln(tan(x))?
f'(x) = 1/tan(x) * sec^2(x) where * means multiply and ^ means to the power of. = cot(x) * sec^2(x) f''(x) = f'(cot(x)*sec^2(x) + cot(x)*f'[sec^2(x)] = -csc^2(x)*sec^2(x) + cot(x)*2tan(x)sec^2(x) = sec^2(x) [cot(x)-csc^2(x)] +2tan(x)cot(x) = sec^2(x) [cot(x)-csc^2(x)] +2
What is the derivitive of a sine wave?
Negative cosine f(x) = sin(x) f'(x) = -cos(x)
How far does a car travel when moving 20 mph for 12 second?
(20 mi / hr) x (12 sec) x (5,280 ft / mi) x (1 hr / 3600 sec)= (20 x 12 x 5,280 / 3,600) (mi - sec - ft - hr / hr - mi - sec)= 352 ft
What is 125 feet per second in miles per hour?
(125 ft/sec) x (1 mi / 5280 ft) x (3600 sec / 1 hr) = (125 x 3600 / 5280) (ft - mi - sec / sec - ft - hr) =85.227 mph (rounded)
200 feet over second equals how many miles over hours?
(200 ft/sec) x (1mile / 5280 ft) x (3600 sec / hour) = (200 x 3,600 / 5,280) (ft - mile - sec / sec - ft - hour)= 136.364 miles per hour (rounded)
2.278 cubic meters per second to cf's?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:2.278 m3/sec x 35.31 = about 80.45 cubic feet per second.
3.146 cubic meters per second to cfs?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:3.146 m3/sec x 35.31 = about 111.09 cubic feet per second.
How do you convert 3.753 cubic meters per second to cubic feet per second?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:3.753 m3/sec x 35.31 = about 132.5359 cubic feet per second
How do you convert 8.284 cubic meters per second to cubic feet per second?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:8.284 m3/sec x 35.31 = about 292.5467 cubic feet per second
What is the second derivative of ln(tan(x))?
f'(x) = 1/tan(x) * sec^2(x) where * means multiply and ^ means to the power of. = cot(x) * sec^2(x) f''(x) = f'(cot(x)*sec^2(x) + cot(x)*f'[sec^2(x)] = -csc^2(x)*sec^2(x) + cot(x)*2tan(x)sec^2(x) = sec^2(x) [cot(x)-csc^2(x)] +2tan(x)cot(x) = sec^2(x) [cot(x)-csc^2(x)] +2
How do you convert 7.381 cubic meters per second to cf's?
The conversion factor is 35.31 so, cm3/sec x 35.31 = feet3/sec:7.381 cm3/sec x 35.31 = about 260.66 cubic feet per second.
How do you convert 10.360 cubic meters per second to cfs?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:10.360 m3/sec x 35.31 = about 365.86 cubic feet per second.
Convert 9.493 cubic meters per second to cfs?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:9.493 m3/sec x 35.31 = about 335.24 cubic feet per second.
Convert 6.182 cubic meters per second to cfs?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:6.182 m3/sec x 35.31 = about 218.31 cubic feet per second.
How do you Convert 2.555 cubic meters per second to cfs?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:2.555 m3/sec x 35.31 = about 90.23 cubic feet per second.
Concert 9.262 cubic meters per second to cfs?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:9.262 m3/sec x 35.31 = about 327.08 cubic feet per second.
Convert 4.554 cubic meters per second to cfs?
The conversion factor is 35.31 so, m3/sec x 35.31 = feet3/sec:4.554 m3/sec x 35.31 = about 160.82 cubic feet per second.
