Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain solution RD Sharma class 12 chapter Differentiation exercise 10.5 question 12 maths

Explain solution RD Sharma class 12 chapter Differentiation exercise 10.5 question 12 maths

Answers (1)

Answer: 10^{10^{x}} \cdot 10^{x} \cdot(\log 10)^{2}

Hint: Diff by \left ( 10 \right )^{10x}

Given: \left ( 10 \right )^{10x}

Solution:  Let y=\left ( 10 \right )^{10x}

Taking log on both sides

        \log y=\log 10^{\left(10^{x}\right)}=10^{x} \log 10
Differentiate w.r.t x,

        \begin{aligned} \frac{1}{y} \frac{d y}{d x}=& \log 10 \frac{d}{d x} 10^{x} \\\\ &=\log 10 \times 10^{x} \cdot \log 10 \end{aligned}

        \begin{aligned} \frac{d y}{d x}=y & \times 10^{x} \times(\log 10)^{2} \\\\ &=10^{10^{x}} \cdot 10^{x}(\log 10)^{2} \end{aligned}

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10, 12 board exams 2025 from April 7 to 11 for sports students
anam-khan

CBSE Class 12 history paper 2025 moderately difficult, tested students’ understanding
anam-khan

CBSE Class 12 Computer Science Exam Analysis 2025: Paper 'moderate', but 'tougher' than last three years

Latest Question