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all right. Excuse me. We've got a question
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here. They give. We're told that given the
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graph that passed through the 0.25 that slope of the
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tangent line at X ffx is three minus or of
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X, and we wanna find F one. Alright
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, so here we want to we know that the
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slope of the line is the ratio between why and
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the X coordinate. So we could say that our
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slope over the tangent Linus three minus four x.
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You could say that he first route. Excuse me
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. The first root of X first derivative of the
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function of X is the slope, which is three
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minus x. And then if we took the integral
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of X, we could calculate we took the integral
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of the first of X. We calculate the ffx
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, which would be minus four folks. He looks
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, which comes out to three. X one is
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two x word. Awesome. Okay. We know
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that the line passes through 0.25 That means that when
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X is to function of X is equal to five
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. So I would say we have five here.
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We have three to minus. This is the function
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of X, by the way. So you have
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three times two minus 22 squared plus c. So
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we take five minus six plus eight equals to see
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. Sees equal to negative seven, actually. Positive
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. Seven. Sorry. Not a negative. Uh
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huh. Company. Go ahead and tweet that out
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there. All right. Now, if we write
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out our function of X, Yeah, it's a
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function of X is the same thing as three X
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minus two X squared Question. Now, if we
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wanted to calculate the function of X one, that's
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just one we would do three times for one Linus
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to one squared plus seven, which is equal to
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three. Minus two plus seven, which is eight
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. Right. And that will be our final answer
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there. I hope that clarifies the question. Thank
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you so much. Watch