Chain Rule

Calculus Level 1

If $y = e^{nx}$ , what is $\dfrac {d^2y}{dx^2}$ equal to?

n^2 e^{nx}

2ne^{x}

nxe

nx

1 solution

Hritesh Mourya
Jun 30, 2016

$\begin{aligned} y & = e^{nx} \\ \frac{dy}{dx} & = ne^{nx} & \small \color{#3D99F6}{\text{By chain rule}} \\ \frac{d^{2}y}{dx^{2}} & = \boxed{n^{2}e^{nx}} & \small \color{#3D99F6}{\text{By chain rule}} \end{aligned}$

@Hritesh Mourya , I have edited your solution here and a few of your problems. Hope that you can learn up LaTex soon. Click the top right corner pull-down menu and select Toggle LaTex to see the LaTex code. You can also see the codes by placing the mouse cursor over the formulas.

Chew-Seong Cheong - 4 years, 11 months ago

I need to apologize for my report. It was wrong. Sorry about that.

Hana Wehbi - 4 years, 11 months ago

Thanks, I have problem in writing the exponential expressions.

Hritesh Mourya - 4 years, 11 months ago

No worries, I just learnt how to use Latex few months ago and still learning.

Hana Wehbi - 4 years, 11 months ago

$e^{\frac 12 x^2}$ e^{\frac 12 x^2}

Chew-Seong Cheong - 4 years, 11 months ago

Thanks.....

Hritesh Mourya - 4 years, 11 months ago

What is the syntax for Logarithmic Expressions

Hritesh Mourya - 4 years, 11 months ago

\log_{10} -- All function should have a backlash in front. For example, \sin \tan \cos \int \gcd \min \max \div \sum

Chew-Seong Cheong - 4 years, 11 months ago

$\log_{10}$ -- All function should have a backlash in front. For example, $\sin \tan \cos \int \gcd \min \max \div \sum$

Chew-Seong Cheong - 4 years, 11 months ago

Thanks a lot

Hritesh Mourya - 4 years, 11 months ago

Chain Rule

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