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Alona [7]
3 years ago
8

The derivative of a function f(x) is given by f'(x)=3x^2-6x+4. The tangent line at the point (2,9) is parallel to another tangen

t line at the point ( a,b) . Find a .
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:2

Step-by-step explanation:

Given

The derivative of a function is f'(x)=3x^2-6x+4

The slope at (2,9) is

\Rightarrow 3(2)^2-6\times 2+4=4

the tangent at (2,9) is parallel to another tangent at (a,b) i.e. their slopes are equal

\Rightarrow 4=3a^2-6a+4\\\Rightarrow 3a^2-6a=0\\\Rightarrow\ 3a(a-2)=0\\\Rightarrow a=0\ \text{or}\ a=2

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