Login
Premium
Home Question Bank Math Calculus
Question

Ask by Schneider Higgins. in Algeria
Nov 29,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

لحساب مشتقة ، نستخدم قاعدة مشتقة اللوغاريتمات. مشتقة حيث هو دالة تعتمد على هي:
في حالتنا، . الآن نحسب مشتقة :
الآن نعود إلى مشتقة :
لذا، يمكننا كتابة الناتج النهائي كالتالي:

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Extra Insights

To differentiate the function , we can use the chain rule. First, we know that the derivative of is . Here, , so we need to find .
Calculating that, we get . Now applying the chain rule gives us:
And there you have it! The derivative of is .

Related Questions

43. ∫0πf(x)dx donde f(x)={senx si 0⩽x<π/2cos⁡x si π/2⩽x⩽π
Calculus Colombia Mar 31, 2025
43. ∫0πf(x)dx donde f(x)={senx si 0⩽x<π/2cos⁡x si π/2⩽x⩽π
Calculus Colombia Mar 31, 2025
Find the average rate of change of f(x)=−2x3+4x2 from x=1 to x=3, Simplify your answer as much as possible. UII ,
Calculus United States Mar 31, 2025
1. Find the Jacobian of the following transformations. (a) x=u2+uv,y=uv2
Calculus United States Mar 31, 2025
4. Evaluate ∬R(x2−xy+y2)dA, where R is the region bounded by the ellipse x2−xy+y2=2 by using the transformation x=2u−2/3v,y=2u+2/3v
Calculus United States Mar 31, 2025

Latest Calculus Questions

5. Use an appropriate change of variables to evaluate the integral ∬R(x+y)ex2−y2dA where R is the rectangle enclosed by the lines x−y=0,x−y=2,x+y=0, and x+y=3
Calculus United States Mar 31, 2025
4. Evaluate ∬R(x2−xy+y2)dA, where R is the region bounded by the ellipse x2−xy+y2=2 by using the transformation x=2u−2/3v,y=2u+2/3v
Calculus United States Mar 31, 2025
2. Find the image of the square bounded by the lines u=0,u=1,v=0,v=1 under the transformation x=v,y=u(1+v2).
Calculus United States Mar 31, 2025
Find the average rate of change of f(x)=−2x3+4x2 from x=1 to x=3, Simplify your answer as much as possible. UII ,
Calculus United States Mar 31, 2025
44. ∫−22f(x)dx donde f(x)={2 si −2⩽x⩽04−x2 si 0<x⩽2
Calculus Colombia Mar 31, 2025
Prev Next
Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy
Pop-up title
Lorem ipsum dolor sit amet, te everti debitis assentior nam, ne illum utroque principes sed. Ridens phaedrum an vix, qui in dolore appareat.