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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative: ddeddx(ex+5logx) is

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प्रश्न

Choose the correct alternative:

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

पर्याय

  • `"e"^x * x^4 (x + 5)`

  • `"e"^x *x(x + 5)`

  • `"e"^x + 5/x`

  • `"e"^x - 5/x`

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उत्तर

`"e"^x * x^4 (x + 5)`

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Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 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
पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 9 | पृष्ठ १७७

संबंधित प्रश्‍न

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

y = sin x + cos x


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y = `sinx/(1 + cosx)`


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y = `(tanx - 1)/secx`


Differentiate the following:
y = cos (tan x)


Differentiate the following:
y = sin (ex)


Differentiate the following:
y = 4 sec 5x


Differentiate the following:
y = (2x – 5)4 (8x2 – 5)–3 


Differentiate the following:

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


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


Find the derivatives of the following:

If cos(xy) = x, show that `(-(1 + ysin(xy)))/(xsiny)`


Find the derivatives of the following:

If y = `(sin^-1 x)/sqrt(1 - x^2)`, show that (1 – x2)y2 – 3xy1 – y = 0


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


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If y = `1/("a" - z)`, then `("d"z)/("d"y)` is


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If x = a sin θ and y = b cos θ, then `("d"^2y)/("d"x^2)` is


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If y = `(1 - x)^2/x^2`, then `("d"y)/("d"x)` is


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


Choose the correct alternative:

If f(x) = `{{:("a"x^2 - "b"",", - 1 < x < 1),(1/|x|",",  "elsewhere"):}` is differentiable at x = 1, then


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