Question

d/dx ln(x^10) equals​

Answer 1

Answer:Since 10 is constant with respect to x , the derivative of 10xln(x) 10 x ln ( x ) with respect to x is 10ddx[xln(x)] 10 d d x [ x ln ( x ) ] . Use the properties of logarithms to simplify the differentiation.

Find the Derivative - d/dx 10x^( natural log of x) |

Explanation:

Answer 2

Answer:

The correct answer is   $\frac{10}{x}$ .

Explanation:

Above Question is related to Differentiation of Algebric functions.

Since we know that Differentiation of

• Log(x)  is $\frac{1}{x}$
• $x^a$  is  $ax^{a-1}$

We are given the expression

                    = log (x^10)

Applying chain rule of differentiation and differentiating above expression with respect to 'x' we get

            =  $\frac{1}{x^{10}}\cdot \frac{d}{dx}x^{10}$

            = $\frac{1}{x^{10}}\cdot 10x^9$

            = $\frac{10}{x}$

Hence we get  $\frac{10}{x}$

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