Differentiate the function with respect to x: (3 x^2-x+1 )^4. - Vidyadip

Question

Differentiate the function with respect to $x:\left(3 x^2-x+1\right)^4$.

✓

Answer

To Find : $\frac{d}{d x}\left(3 x^2- x +1\right)^4$
Formula used: $\frac{d}{d x}\left(y^n\right)=n y^{ n -1} \times \frac{d y}{d x}$
Let $y=\left(3 x^2-x+1\right)^4$
So, by using the above formula, we have
$\frac{d}{d x}\left(3 x^2- x +1\right)^4=4\left(3 x ^2- x +1\right)^3 \times \frac{d}{d x}\left(3 x ^2- x +1\right)=4\left(3 x ^2- x +1\right)^3(6 x -1)$

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 Model Paper 2→Model Paper 2 — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Find the A.M. between:
12 and -8

Find the 12th term from the end of the following arithmetic progressions,

1, 4, 7, 10, ..., 88

Solve the following linear inequations in R:
Solve: 12x < 50, when:

$\text{x}\in\text{R}$
$\text{x}\in\text{Z}$
$\text{x}\in\text{N}$

Find the derivative of function $4\sqrt x - 2$ (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers).

The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are then put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement.
Describe the following events:
A = The number on the first slip is larger than the one on the second slip.
B = The number on the second slip is greater than 2.
C = The sum of the numbers on the two slips is 6 or 7.
D = The number on the second slips is twice that on the first slip.
Which pair(s) of events is (are) mutually exclusive?

Find the number of permutations of the letters of the word ALLAHABAD.

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\text{e}^\text{x}-1+\sin\text{x}}{\text{x}}$

Write the equation of the lines for which tan $\theta=\frac{1}{2}$, where θ is the inclination of the line and x-intercept is 4.

Find the equation of the line which satisfy the given conditions:
Passing through $(2,2 \sqrt{3})$ and inclined with the x-axis at an angle of 75^o.

Using the method of slope, show that the following points are collinear:
A(4, 8), B(5, 12), C(9, 28)