calculate-the-slope-of-the-tangent-line-to-the-graph-of-yyy-3cosx3cos-x3cosx-at-

Question

Calculate the equation of the tangent line to the graph of $y=$ $3^{\cos x}$ at $x=0$ . Also, graph the function and the tangent line on the same coordinate system.

Accepted Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>y</mi><mo>=</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">y=3</annotation></semantics></math>y=3﻿<img class="image-blot" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeiQhosfWU5QD92ZlV2Z2J_J6yk3YtAo82K5o3OTkBi4wYi77VZw-KPFhHqDUqowThsPPzoJrNLxyuRtYs12VoBMPsBTbdu75_Y--YLuLyoST846A1TTaIBMZHt5bVnvpYGFn0ZBg?key=x7oVuJRWfPmRM7FTSlzDkQmF" style="cursor: nesw-resize;" width="495">

Answer

$y = \frac{1}{3}$

Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>y</mi><mo>=</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">y=3</annotation></semantics></math>y=3﻿<img class="image-blot" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd8FbjgGwG2SM0Gz8waXuC1nYyJZrTvErWORVmGKeM0CdFunMb6qoW49fEmFMkBovx2iuC9wBuxrLauwxOYfvUNVzkiKuiG3drLC-RCOBUr96DmD_xqscbgJVYSDvYq3C3upfxVaA?key=x7oVuJRWfPmRM7FTSlzDkQmF" style="cursor: nesw-resize;" width="486">

Answer

﻿<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>y</mi><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac></mrow><annotation encoding="application/x-tex">y=\frac13</annotation></semantics></math>y=31​﻿<img class="image-blot" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdrzT4cWW3ALOHUW2qyAjarjJeL5KqxX4n9Z7YxBJxY96E3Giz6UQ5G5f79Mwn3g-qOjWbKHFQ501o5P3uCe4uwfRpRdSOe046jnh98QantbZMLECK22cYzwUnjKgXKJkjiqU1gzA?key=x7oVuJRWfPmRM7FTSlzDkQmF" style="cursor: nesw-resize;" width="494">

Calculate the equation of the tangent line to the graph of y=y=y= 3cosx3^{\cos x}3cosx at x=0x=0x=0. Also, graph the function and the tangent line on the same coordinate system.

Calculate the equation of the tangent line to the graph of $y=$ $3^{\cos x}$ at $x=0$ . Also, graph the function and the tangent line on the same coordinate system.