मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

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

Advertisements
Advertisements

प्रश्न

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

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

तक्ता
आकृती
Advertisements

उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.2 [पृष्ठ १६०]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.2 | Q 20 | पृष्ठ १६०

संबंधित प्रश्‍न

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

y = (x2 + 5) log(1 + x) e–3x 


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

y = log10 x


Differentiate the following:
F(x) = (x3 + 4x)7


Differentiate the following:

h(t) = `("t" - 1/"t")^(3/2)`


Differentiate the following:

y = `5^((-1)/x)`


Differentiate the following:
y = sin3x + cos3x


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


Find the derivatives of the following:

`x^2/"a"^2 + y^2/"b"^2` = 1


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:

x = `(1 - "t"^2)/(1 + "t"^2)`, y = `(2"t")/(1 + "t"^2)`


Find the derivatives of the following:

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


Find the derivatives of the following:

Find the derivative of sin x2 with respect to x2 


Find the derivatives of the following:

If u = `tan^-1  (sqrt(1 + x^2) - 1)/x` and v = `tan^-1 x`, find `("d"u)/("d"v)`


Find the derivatives of the following:

If y = sin–1x then find y”


Find the derivatives of the following:

If y = `(cos^-1 x)^2`, prove that `(1 - x^2) ("d"^2y)/("d"x)^2 - x ("d"y)/("d"x) - 2` = 0. Hence find y2 when x = 0


Choose the correct alternative:

`"d"/("d"x) (2/pi sin x^circ)` is


Choose the correct alternative:
If f(x) = x tan-1x then f'(1) is


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:

The number of points in R in which the function f(x) = |x – 1| + |x – 3| + sin x is not differentiable, is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×