Answer:
f(x)=cscx
f(x+h)=csc(x+h)
f(x+h)−f(x)=csc(x+h)−cscx=1sin(x+h)−1sinx
=sinx−sin(x+h)sin(x+h)(sinx)
=2sin(x−x−h2)cos(x+x+h2)sin(x+h)(sinx)
=−2sin(h2)cos(2x+h2)sin(x+h)(sinx)
f′(x)=limh→0f(x+h)−f(x)h
=limh→0−2sin(h2)cos(2x+h2)hsin(x+h)(sinx)
=−limh→0sin(h2)h2×limh→0cos(2x+h2)sin(x+h)sinx
=−cosxsin2x
=−cscxcotx
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Step-by-step explanation:
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Answer:
a) x = 260
b) g = 218
c) z = 30
d) h = 5
Step-by-step explanation:
a)
Predict a number; let's say x = 225
Too low; try with a higher number; let's say x = 270
Too high, we're closer.
x = 260
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b)
let's say g = 230
Too high. Try g = 221
We're almost there. Let's try with g = 218
----------------------------------------------------------------------------------------
c)
Let's try with z = 15
Too low; try a higher number. z = 30
--------------------------------------------------------------------------------------------
d)
Let's try with h = 6
Too high; let's try with h = 5
The answer is x².
f(x) = <span>5x - 6
</span>g(x) = x²<span> - 5x + 6
(f + g)(x) = f(x) + g(x)
= </span>5x - 6 + x² - 5x + 6
= x² + 5x - 5x + 6 - 6
= x² + 0 + 0
= x²
Answer:
x=5
Step-by-step explanation:
7 times x
7 times 2
7x-14= 21
14+14= 21+ 14
7x=35
x=5
7 times five equals 35