Alerts Wishlist Cart

If f(x) = 5x^2 + 3x, what is f'(1)?

Practice Questions

Q1
If f(x) = 5x^2 + 3x, what is f'(1)?
  1. 8
  2. 10
  3. 13
  4. 15

Questions & Step-by-Step Solutions

If f(x) = 5x^2 + 3x, what is f'(1)?
  • Step 1: Identify the function f(x) = 5x^2 + 3x.
  • Step 2: Find the derivative of the function, which is f'(x).
  • Step 3: Use the power rule to differentiate: The derivative of 5x^2 is 10x, and the derivative of 3x is 3.
  • Step 4: Combine the derivatives to get f'(x) = 10x + 3.
  • Step 5: Now, substitute x = 1 into the derivative: f'(1) = 10*1 + 3.
  • Step 6: Calculate the result: 10*1 = 10, then add 3 to get 13.
  • Differentiation – The process of finding the derivative of a function.
  • Evaluation of Derivatives – Substituting a specific value into the derivative to find the slope at that point.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely