Applications of differentiation (1 Viewer)

kpad5991 · Feb 22, 2018

Find in the domain x greater than equal to 0 and x is less than or equal to 2 Pi the x coordinates of the points on the curve y= e^sinx where the tangent is horizontal.

fan96 · Feb 22, 2018

Differentiate $y = e^{\sin x}$ using the rule

$\frac{d}{dx}\, e^{f(x)} = f'(x) e^{f(x)}$

and when solving $\frac{dy}{dx} = 0$ , note that $e^{\sin x}$ is never zero.

kpad5991 · Feb 23, 2018

fan96 said:
Differentiate $y = e^{\sin x}$ using the rule

$\frac{d}{dx}\, e^{f(x)} = f'(x) e^{f(x)}$

and when solving $\frac{dy}{dx} = 0$ , note that $e^{\sin x}$ is never zero.

The solution is Pi/2 and 3pi/2

HeroWise · Mar 11, 2018

wait think about it wats sinpi/2 ? Its 1 so e^1 is 0 ??? no its e same thing with 3pi/2 it becomes -1 so 1/e

Applications of differentiation (1 Viewer)

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