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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

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

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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

विकल्प

  • 8

  • – 2

  • 5

  • 2

MCQ
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उत्तर

2

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Differentiation Rules
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [पृष्ठ १७७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 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:

y = `sinx/(1 + cosx)`


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

y = `x/(sin x + cosx)`


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

y = `(tanx - 1)/secx`


Differentiate the following:

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


Differentiate the following:

f(t) = `root(3)(1 + tan "t")`


Differentiate the following:
y = tan (cos x)


Differentiate the following:

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


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


Differentiate the following:

y = `"e"^(3x)/(1 + "e"^x`


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


Find the derivatives of the following:

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


Find the derivatives of the following:

x = `"a" cos^3"t"` ; y = `"a" sin^3"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:

sin-1 (3x – 4x3)


Find the derivatives of the following:

Find the derivative of `sin^-1 ((2x)/(1 + x^2))` with respect to `tan^-1 x`


Find the derivatives of the following:

If y = etan–1x, show that (1 + x2)y” + (2x – 1)y’ = 0


Choose the correct alternative:

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


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