Practicing Success
Practicing Success
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The interval of increase of the function $f(x)=x-e^x+\tan(\frac{2π}{7})$ is |
(0, ∞) (–∞, 0) (1, ∞) (–∞, 1) |
(–∞, 0) |
We have $f(x)=x-e^x+\tan(\frac{2π}{7})$ $⇒f'(x)=1-e^x$ For f(x) to be increasing, we must have $f'(x) > 0 ⇒ 1 - e^x > 0 ⇒ e^x < 1$ $⇒x < 0.⇒x∈(−∞,0)$ |
