Differentiate w.r.t x y = 3x^(4) + 2x^(2...

Differentiate w.r.t x `y = 3x^(4) + 2x^(2) - 10 x `

Text Solution

AI Generated Solution

To differentiate the function \( y = 3x^4 + 2x^2 - 10x \) with respect to \( x \), we will use the power rule of differentiation. The power rule states that if \( y = x^n \), then \( \frac{dy}{dx} = nx^{n-1} \). ### Step-by-Step Solution: 1. **Identify the function to differentiate**: \[ y = 3x^4 + 2x^2 - 10x \] ...

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

VECTORS SCALARS ELEMENTARY CALCULUS
ICSE|Exercise Applications of integration in Physics |6 Videos
VECTORS SCALARS ELEMENTARY CALCULUS
ICSE|Exercise CONCEPTUAL SHORT ANSWER QUESTIONS WITH ANSWERS |12 Videos
VECTORS SCALARS ELEMENTARY CALCULUS
ICSE|Exercise ADDITIONAL SOLVED PROBLEMS |22 Videos
UNITS
ICSE|Exercise MODULE 3 (SELECTED PROBLEMS) |38 Videos
WAVES
ICSE|Exercise From Musical Sound|10 Videos

Similar Questions

Explore conceptually related problems

Differentiate w.r.t x y = 8x^(8)

Differentiate w.r.t y = x^(10)

Differentiate w.r.t y = x^(-2)

Differentiate w.r.t x , y = x^(sinx)

Differentiate w.r.t x tan (x^2)

Differentiate w.r.t x (x sin x)^(3)

Differentiate w.r.t x : sin (x^(3))

Differentiate w.r.t x sin^4x

Differentiate w.r.t x sec (sec x)

Differentiate w.r.t x e^(5x)

ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -EXAMPLES

Differentiate w.r.t y = x^(-2)
01:28
|
Differentiate w.r.t x y = 8x^(8)
01:25
|
Differentiate w.r.t x y = 3x^(4) + 2x^(2) - 10 x
02:33
|
Differentiate w.r.t x y = x(x^(2) - 2x) . Here u = x, v=x^(2) - 2x
03:15
|
Differentiate w.r.t x , y = (x^(2)+1)//(x-1) . Here u = x^(2) +1, v = ...
02:57
|
Differentiate w.r.t x, y y = (4x^(2) - 5x + 10)^(10)
02:48
|
Differentiate w.r.t x , y = x^(sinx)
03:56
|
Differentiate w.r.t x Given x =a cos^(3) theta , y = b sin^(3) theta
05:15
|
Integrate the following 3x^(2)- 6x +1/(x^(3))
02:36
|
Integrate the following cos^(2) 3x
02:20
|
Integrate the following sin^(3) x cos^(4) x
04:23
|
Integrate the following 1/(sqrt(x^(2)+a^(2)))
05:40
|
Integrate the following x log x
04:33
|
Differentiate the following with respect to x 2x^(3)- 9 - 3x^(2)
02:14
|
Differentiate the following with respect to x 2 sin x - 3 log x
01:33
|
Differentiate the following with respect to x (3x^(2) - 5) (x^(2)+7...
03:03
|
Differentiate the following with respect to x x^(2)e^(x) sin x
04:24
|
Differentiate the following with respect to x e^(x)//(1 + sin x)
03:00
|
Differentiate the following with respect to x x^(2) -1//x^(2)+1
03:24
|
Differentiate the following with respect to x sin^(-1)sqrt(x)
03:05
|