Download App

Differentiation of Derivatives — Applied Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceApplied MathsDifferentiation of Derivatives2 Marks
Question
Differentiate $3^x+x^3+4 x-5$ with respect to $x$
✓

Answer

Let, $f(x)=3^x+x^3+4 x-5$
$\therefore \quad \frac{d}{d x} f(x)=f^{\prime}(x)$
$\Rightarrow \quad f^{\prime}(x)=\frac{d}{d x}\left(3^x+x^3+4 x-5\right)$
$\begin{array}{l}=3^x \log _e 3+3 x^2+4 \times 1-0 \\ = 3^x \log _e 3+3 x^2+4\end{array}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Differentiation of Derivatives→Differentiation of Derivatives — all question types→Applied Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

A gentleman has 6 friends to invite. In how many ways can be send invitation card to them if he has three servants to carry the cards ?
→
If $A=\{3 n+5: n \leq N$ and $n \leq 6\}$, then represent set $A$ in the roster form.
→
A takes 2 hours more than B to walk $d \mathrm{~km}$, but if A doubles his speed, then he can make it in 1 hour less than $B$. How much time does $B$ require for walking $d \mathrm{~km}$ ?
→
$(108)_{16}=(?)_{10}$
→
What is fuel surcharge ?
→
The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest number ?
→
Can r lie outside the -1 and +1 range depending on the type of data ?
→
How many numbers are there between 99 and 1000 having 7 in the unit place?
→
Introducing a girl, Vipin said, "Her mother is the only doughter of my mother-in-law." How is Vipin related to the girl?
→
A and B undertake to do a piece of work for ₹ 600 , A alone can do it in 6 days while $B$ alone can do it in 8 days. With the help of C , they finish it in 3 days find the share of each.
→