Mister Exam

Lang:

The derivative of the function/ y'=7lnx+1

Derivative of y'=7lnx+1

The solution

You have entered [src]

7*log(x) + 1

$$7 \log{\left(x \right)} + 1$$

7*log(x) + 1

Detail solution

Differentiate $7 \log{\left(x \right)} + 1$ term by term:
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$ .
  So, the result is: $\frac{7}{x}$
2. The derivative of the constant $1$ is zero.
The result is: $\frac{7}{x}$

The answer is:

$\frac{7}{x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

7
-
x

$$\frac{7}{x}$$

Simplify

The second derivative [src]

-7 
---
  2
 x

$$- \frac{7}{x^{2}}$$

Simplify

The third derivative [src]

14
--
 3
x

$$\frac{14}{x^{3}}$$

Simplify