Question
Find the indicated derivative.$$y=\cos (2 x+1) ; \quad d^{5} y / d x^{5}$$
Step 1
The derivative of $\cos(u)$ is $-\sin(u)$, and by the chain rule, the derivative of $\cos(2x+1)$ is $-2\sin(2x+1)$. So, $$ \frac{d y}{d x}=-2 \sin (2 x+1) $$ Show more…
Show all steps
Your feedback will help us improve your experience
Adrian Co and 91 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the derivative of the following functions. $$y=5 x^{2}+\cos x$$
Derivatives
Derivatives of Trigonometric Functions
Find the derivative of the function. $y=\frac{5}{(2 x)^{3}}+2 \cos x$
Differentiation
Basic Differentiation Rules and Rates of Change
Find the derivative of the function. $y=3 x-5 \cos (2 x)^{2}$
The Chain Rule
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD