Check sibling questions

CBSE Class 12 Sample Paper for 2020 Boards

CBSE Class 12 Sample Paper for 2019 Boardsย โ†’
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Question 14 (OR 2nd Question) - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at March 30, 2023 by

For the curveย  y = 5x โˆ’ 2x 3 , if x increases at the rate of 2 units/sec, then at x = 3 the slope of the curve is changing at _________

For curveย  y = 5x โˆ’ 2x^3, if x increases at rate of 2 units/sec, then

Question 14 (OR 2nd Question) - CBSE Class 12 Sample Paper for 2020 Boards - Part 2
Question 14 (OR 2nd Question) - CBSE Class 12 Sample Paper for 2020 Boards - Part 3

Get live Maths 1-on-1 Classs - Class 6 to 12

Book 30 minute class for โ‚น 499 โ‚น 299

Transcript

Question 14 (OR 2nd Question) For the curve y = 5x โˆ’ 2x3, if x increases at the rate of 2 units/sec, then at x = 3 the slope of the curve is changing at _________ Given y = 5x โˆ’ 2x3 ๐‘‘๐‘ฅ/๐‘‘๐‘ก = 2 units/sec We need to find how fast the slope is changing We know that Slope = ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = (๐‘‘(5๐‘ฅ โˆ’ 2๐‘ฅ^3))/๐‘‘๐‘ฅ = 5 โ€“ 6x2 How was slope is changing is (๐‘‘(๐‘†๐‘™๐‘œ๐‘๐‘’))/๐‘‘๐‘ก Finding it (๐‘‘(๐‘†๐‘™๐‘œ๐‘๐‘’))/๐‘‘๐‘ก = (๐‘‘(5 โˆ’ 6๐‘ฅ^2))/๐‘‘๐‘ก = 0 โ€“ 12x ๐‘‘๐‘ฅ/๐‘‘๐‘ก = โ€“12x ๐‘‘๐‘ฅ/๐‘‘๐‘ก Putting x = 3 and ๐‘‘๐‘ฅ/๐‘‘๐‘ก = 2 units/sec = โ€“12 ร— 3 ร— 2 = โ€“72 So, Slope is decreasing at the rate of 72 units/sec

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.