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How they perpendicular
Malik
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Like this:
Why we find tangent
I assumed that the question wanted you to find the gradient of the tangent line, but I can't be certain due to the wording of the problem.
Means??
It means that I am not sure if you posted the question correctly, but I suspect that the answer is correct anyway.
See again this question
Asking for the value of f'(1) is the same as asking what the slope of the tangent line at (1,4) is, so your answer is still correct. Thank you for editing, now there is no ambiguity.
Derivative is tangent line?
f'(1) here represents the gradient of the tangent line at x = 1, yes.