Find the first derivative 4. y= In(3x)5. y= etanx

Answered: 4. y= In(3x) 5. y= etanx

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 30AR: Determine dimension x to 3 decimal places.

See similar textbooks

Related questions

Question

Find the first derivative

Expert Solution

Step 1

Given data:

The given expression for the function is y=ln(3x).

The expression for the first derivative is,

$f' (x) = \frac{d y}{d x}$

Substitute the given function in the above expression.

$\begin{array}{rcl} f' (x) & = & \frac{d}{d x} (\ln (3 x)) \\ = & \frac{1}{3 x} \frac{d}{d x} (3 x) \\ = & \frac{3}{3 x} \\ = & \frac{1}{x} \end{array}$

Thus, the first derivative of the given function is 1/x.

Step by step

Solved in 2 steps

Knowledge Booster

$Numerical Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions