My Learning Cart
?
Categories
Account

What is the derivative of f(x) = x^5?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the derivative of f(x) = x^5?

Options:

  1. 5x^4
  2. 4x^5
  3. x^4
  4. 5x^3

Correct Answer: 5x^4

Solution: 

The derivative f\'(x) = d/dx(x^5) = 5x^4.

What is the derivative of f(x) = x^5?

Practice Questions

Q1
What is the derivative of f(x) = x^5?
  1. 5x^4
  2. 4x^5
  3. x^4
  4. 5x^3

Questions & Step-by-Step Solutions

What is the derivative of f(x) = x^5?
  • Step 1: Identify the function you want to differentiate. In this case, the function is f(x) = x^5.
  • Step 2: Use the power rule for differentiation. The power rule states that if you have x raised to a power n, the derivative is n * x^(n-1).
  • Step 3: Apply the power rule to f(x) = x^5. Here, n = 5.
  • Step 4: Multiply the exponent (5) by the coefficient (which is 1 for x^5) to get 5.
  • Step 5: Decrease the exponent by 1. So, 5 - 1 = 4.
  • Step 6: Combine the results from Step 4 and Step 5. This gives you the derivative: f'(x) = 5x^4.
No concepts available.
Soulshift Feedback ×

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

Not likely Very likely
Home Practice Performance eBooks