Differentiate the following w.r.t. $x$ .
$(2 x^{2} + 9)^{3}$ .

4 (2 x^{2} + 9)^{2} x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12 (2 x^{2} + 9)^{2} x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

12 (2 x^{2} + 9)^{3} x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6 (2 x^{2} + 9)^{2} x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $12 (2 x^{2} + 9)^{2} x$
$\frac{d}{d x} {(2 x^{2} + 9)}^{3}$
$= 3 {(2 x^{2} + 9)}^{3 - 1} . \frac{d}{d x} (2 x^{2} + 9)$
$= 3 {(2 x^{2} + 9)}^{2} {4 x + 0}$
$= 12 {(2 x^{2} + 9)}^{2} . x$

Suggest Corrections

Similar questions

Question 116

Find x, so that

${(\frac{2}{9})}^{3} \times {(\frac{2}{9})}^{- 6} = {(\frac{2}{9})}^{2 x - 1} .$

Question 116

Find x, so that

${(\frac{2}{9})}^{3} \times {(\frac{2}{9})}^{- 6} = {(\frac{2}{9})}^{2 x - 1} .$

x + 3 y = 9 2 x + y = 8

x : 81^{- 2} \div 729^{1 - x} = 9^{2 x}

9 (2 x - y)^{2} - 4 (2 x - y) - 13

Join BYJU'S Learning Program