What is the slope of \(\displaystyle{f{{\left({x}\right)}}}=-{e}^{{{x}}}+{2}{x}\) at

Annabella Lopez

Annabella Lopez

Answered question

2022-03-14

What is the slope of f(x)=ex+2x at x=1?

Answer & Explanation

stadfeste8ru

stadfeste8ru

Beginner2022-03-15Added 9 answers

Find f'(1).
To find f'(x), the most important thing to know is that the derivative of ex is still ex
Since the derivative of 2x is just 2,
f(x)=ex+2
To find the slope (of the tangent line) at that point, plug in 1.
f(1)=e1+2=2e0.7183

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