Show all your work when you find the derivative of $y = [x + (x - \cos^3 x)^5]^7$
Added by Todd T.
Close
Step 1
We will use the chain rule multiple times. The general form of the chain rule is $\frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx}$. Let $u = x + (x - \cos^3 x)^5$. Then $y = u^7$. The derivative of $y$ with respect to $u$ is $\frac{dy}{du} = 7u^{7-1} = Show more…
Show all steps
Your feedback will help us improve your experience
Ma. Theresa Alin and 58 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
how to solve
Ma. Theresa A.
$7-42=$ Find the derivative of the function. $$y=\left[x^{2}+(1-3 x)^{5}\right]^{3}$$
DERIVATIVES
The Chain Rule
Compute the derivative (without using L'Hôpital's Rule) of the function and simplify the answer. y = x^3e^4x sin^5(6x) cos^7(8x)
Madhur L.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD