Physics, asked by jaimeetnpatel, 10 days ago

d/dx ln(x^10) equals​

Answers

Answered by prakashcor
3

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:

Answered by chaudharyvikramc39sl
7

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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