Cian Orr

2022-02-15

For $f\left(x\right)={x}^{5}-{x}^{3}+x$ what is the equation of the tangent line at x=3?

vefibiongedogn7z

Beginner2022-02-16Added 6 answers

The gradient of the tangent line to the curve of f at the point 3 will be equal to the derivative of the function at the point 3.

But at 3, the function itself has value

Therefore the point with co-ordinates

from which we obtain

Thus the equation of the required tangent line is

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

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