English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the derivatives of the following functions with respect to corresponding independent variables: Draw the function f'(x) if f(x) = 2x2 – 5x + 3 - Mathematics

Advertisements
Advertisements

Question

Find the derivatives of the following functions with respect to corresponding independent variables:

Draw the function f'(x) if f(x) = 2x2 – 5x + 3

Chart
Diagram

Solution

f(x) = 2x2 – 5x + 3

f'(x) = 4x – 5 which is a linear function

(i.e.) y = 4x – 5

x 0 1 2 3
y – 5 – 1 3 7
shaalaa.com
Differentiation Rules
  Is there an error in this question or solution?
Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.2 [Page 160]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.2 | Q 20 | Page 160

RELATED QUESTIONS

Find the derivatives of the following functions with respect to corresponding independent variables:

y = cos x – 2 tan x


Find the derivatives of the following functions with respect to corresponding independent variables:

y = ex sin x


Find the derivatives of the following functions with respect to corresponding independent variables:

y = `tan x/x`


Find the derivatives of the following functions with respect to corresponding independent variables:

y = tan θ (sin θ + cos θ)


Differentiate the following:
y = `"e"^sqrt(x)`


Differentiate the following:
y = e–mx 


Differentiate the following:

y = `x"e"^(-x^2)`


Differentiate the following:
y = tan (cos x)


Differentiate the following:

y = `(sin^2x)/cos x`


Differentiate the following:
y = (1 + cos2)6


Differentiate the following:
y = `sqrt(x + sqrt(x + sqrt(x)`


Find the derivatives of the following:

`tan^-1 = ((6x)/(1 - 9x^2))`


Find the derivatives of the following:

`cos[2tan^-1 sqrt((1 - x)/(1 + x))]`


Find the derivatives of the following:

x = a (cos t + t sin t); y = a (sin t – t cos t)


Find the derivatives of the following:

`cos^-1 ((1 - x^2)/(1 + x^2))`


Find the derivatives of the following:

sin-1 (3x – 4x3)


Find the derivatives of the following:

Find the derivative of sin x2 with respect to x2 


Choose the correct alternative:

`"d"/("d"x) ("e"^(x + 5log x))` is


Choose the correct alternative:

The differential coefficient of `log_10 x` with respect to `log_x 10` is


Choose the correct alternative:

If f(x) = `{{:(2"a" - x,  "for"  - "a" < x < "a"),(3x - 2"a", "for"  x ≥ "a"):}` , then which one of the following is true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×