If f(x) = sin(2x) +1, what is f"(x)?Enter the answer in the box.f"(x) =

Name: If f(x) = sin(2x) +1, what is f"(x)?Enter the answer in the box.f"(x)
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: If f(x) = sin(2x) +1, what is f"(x)?Enter the answer in the box.f"(x) =

Answered: If f(x) = sin(2x) +1, what is f" (x)?…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks

Related questions

Topic Video

Question

If f(x) = sin(2x) +1, what is f"(x)?
Enter the answer in the box.
f"(x) =

Expert Solution

Step 1 : Analysis

Given :

$f (x) = \sin (2 x) + 1$

Step 2 : Simplification

$f' (x) = \frac{d}{d x} (\sin (2 x) + 1)$

Using $(u \pm v)' = u' \pm v'$ ,

$f' (x) = \frac{d}{d x} (\sin (2 x)) + \frac{d}{d x} (1)$

Using $\frac{d}{d x} (\sin x) = \cos x$ , chain rule and $\frac{d}{d x} (c) = 0$ , where $c$ be any constant.

$\begin{array}{rcl} f' (x) & = & \cos (2 x) \frac{d}{d x} (2 x) + 0 \\ f' (x) & = & 2 \cos (2 x) \frac{d}{d x} (x) \\ f' (x) & = & 2 \cos (2 x) \end{array}$

Therefore $\begin{array}{rcl} f \end{array} \begin{array}{rcl} ' \end{array} \begin{array}{rcl} (x) \end{array} \begin{array}{rcl} \end{array} \begin{array}{rcl} = \end{array} \begin{array}{rcl} \end{array} \begin{array}{rcl} 2 \end{array} \begin{array}{rcl} \cos \end{array} \begin{array}{rcl} (2 x) \end{array} \begin{array}{rcl} \end{array}$

Step by step

Solved in 3 steps

Knowledge Booster

$Chain Rule$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions