मराठी

तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

प्रश्नपत्रिका

प्रश्नपत्रिका

पाठ्यपुस्तक उत्तरे९७२७

MCQ ऑनलाइन सराव परीक्षा

महत्वाचे प्रश्न आणि उत्तरे

संकल्पना स्पष्टीकरण६०

टाइम टेबल

अभ्यासक्रम

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

Advertisements

Advertisements

प्रश्न

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

पर्याय

$1 + \frac{π}{4}$
$\frac{1}{2} + \frac{π}{4}$
$\frac{1}{2} - \frac{π}{4}$
2

MCQ

उत्तर

$\frac{1}{2} + \frac{π}{4}$

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]

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 8 | पृष्ठ १७७

संबंधित प्रश्‍न

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

g(t) = t³ cos t

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

y = cosec x . cot x

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:
y = $e^{\sqrt{x}}$

Differentiate the following:
y = $\sqrt{1 + 2 \tan x}$

Differentiate the following:
y = sin³x + cos³x

Differentiate the following:
y = sin²(cos kx)

Find the derivatives of the following:

$\sqrt{x^{2} + y^{2}} = \tan^{- 1} (\frac{y}{x})$

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:

x = $\frac{1 - t^{2}}{1 + t^{2}}$ , y = $\frac{2 t}{1 + t^{2}}$

Find the derivatives of the following:

$\cos^{- 1} (\frac{1 - x^{2}}{1 + x^{2}})$

Find the derivatives of the following:

sin^-1 (3x – 4x³)

Find the derivatives of the following:

If y = sin^–1x then find y”

Find the derivatives of the following:

If y = $\frac{\sin^{- 1} x}{\sqrt{1 - x^{2}}}$ , show that (1 – x²)y₂ – 3xy₁ – y = 0

Find the derivatives of the following:

If x = a(θ + sin θ), y = a(1 – cos θ) then prove that at θ = $\frac{π}{2}$ , yⁿ = $\frac{1}{a}$

Choose the correct alternative:

If y = cos (sin x²), then $\frac{d y}{d x}$ at x = $\sqrt{\frac{π}{2}}$ is

Choose the correct alternative:

If the derivative of (ax – 5)e^3x at x = 0 is – 13, then the value of a is

Choose the correct alternative:

If x = a sin θ and y = b cos θ, then $\frac{d^{2} y}{d x^{2}}$ is

Choose the correct alternative:

If f(x) = ${\begin{array}{l} a x^{2} - b, & - 1 < x < 1 \\ \frac{1}{| x |}, & elsewhere \end{array}$ is differentiable at x = 1, then

Notifications

English हिंदी मराठी

Login

Create free account

Course

एचएससी विज्ञान इयत्ता ११ तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशन

Change mode
Log out

Our website is made possible by ad-free subscriptions or displaying online advertisements to our visitors.
If you don't like ads you can support us by buying an ad-free subscription or please consider supporting us by disabling your ad blocker. Thank you.