Ask Question
27 July, 13:08

Determine the derivative of the following and leave the answer with positive exponents

Ay/ax if y=5x+√x to the exponent 5/2x²

+1
Answers (1)
  1. 27 July, 13:35
    0
    Hello,

    It was a long time i have done this.

    y = (5x+√x) ^ (2.5 x²)

    ln y = 2.5x² ln (5x+√x)

    We use:

    d (ln y) / dx=1/y * dy/dx

    y'/y = 5x*ln (5x+√x) + 2.5x²*1 / (5x+√x) * (5+1 / (2√x))

    y' = (5x+√x) ^ (2.5 x²) * [5x*ln (5x+√x) + 2.5x²*1 / (5x+√x) * (5+1 / (2√x)) ]
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Determine the derivative of the following and leave the answer with positive exponents Ay/ax if y=5x+√x to the exponent 5/2x² ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers