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timurjin [86]
3 years ago
12

Please help me on problems 17,18,19,20...explanation needed Thanks:)

Mathematics
1 answer:
nordsb [41]3 years ago
5 0
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Let f(x) be a func. satisfying f(-x)=f(x) for all real x.if f"(x) exist, find its value.
OverLord2011 [107]

Answer:

f''(x)=f''(-x)

Step-by-step explanation:

A function satisfying the equation f(x)=f(-x) is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form x^{n} with n even. Observe that if f is twice differentiable we can derivate using the chaing rule as follows:

f(x)=f(-x) implies f'(x)=f'(-x)\cdot (-1)=-f'(-x)

Applying the chain rule again we have:

f'(x)=-f'(-x) implies f''(x)=-f''(-x)\cdot (-1)=f''(-x)

So we have that function f''(x) is also an even function.

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3 years ago
What is the eighth multiple of 12​
Rina8888 [55]

Answer:

96

Step-by-step explanation:

eighth multiple of 12 = 12 * 8 = 96

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and that's if it's multiplication

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