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Choose the correct alternative: If the derivative of (ax – 5)e3x at x = 0 is – 13, then the value of a is - Mathematics

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प्रश्न

Choose the correct alternative:

If the derivative of (ax – 5)e3x at x = 0 is – 13, then the value of a is

पर्याय

  • 8

  • – 2

  • 5

  • 2

MCQ
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उत्तर

2

shaalaa.com
Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [पृष्ठ १७७]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 10 | पृष्ठ १७७

संबंधित प्रश्‍न

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

g(t) = 4 sec t + tan t


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 = `sinx/(1 + cosx)`


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 = `(x^2 + 1) root(3)(x^2 + 2)`


Differentiate the following:
y = `sqrt(1 + 2tanx)`


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


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


Differentiate the following:

y = `sin^-1 ((1 - x^2)/(1 + x^2))`


Find the derivatives of the following:
y = `x^(cosx)`


Find the derivatives of the following:
y = `x^(logx) + (logx)^x`


Find the derivatives of the following:

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


Find the derivatives of the following:

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


Find the derivatives of the following:

`tan^-1 ((cos x + sin x)/(cos x - sin x))`


Find the derivatives of the following:

If y = sin–1x then find y”


Find the derivatives of the following:

If x = a(θ + sin θ), y = a(1 – cos θ) then prove that at θ = `pi/2`, yn = `1/"a"`


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?


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