Question
Find the derivative of the function.$$y=3 x-5 \cos (\pi x)^{2}$$
Step 1
The function is a sum of two terms: $3x$ and $-5\cos(\pi x)^2$. We can differentiate these separately using the sum rule for differentiation, which states that the derivative of a sum of functions is the sum of their derivatives. Show more…
Show all steps
Your feedback will help us improve your experience
Tyler Moulton and 85 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 function. $y=3 x-5 \cos (2 x)^{2}$
Differentiation
The Chain Rule
Find the derivative of the function. $y=\frac{5}{(2 x)^{3}}+2 \cos x$
Basic Differentiation Rules and Rates of Change
Calculate the derivative of the given expression with respect to $x$. $$ \cos _{5 x}(2 x+\pi / 3) $$
The Derivative
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD