Free Printable Introduction to Mathematics for JEE and NEET

Worksheets

Introduction to Mathematics for JEE and NEET - Session 7

Total questions: 10

Worksheet time: 11mins

Name

Class

Date

Differentiate with respect to x.

6x² + 6x

6x + 2

6x + 6

6x² + 6

Differentiate with respect to x...

x² + x

x² - x

x² + x³

x² - x^-3

Differentiate with respect to x...

18x² - 2x - 1

12x² - 2x - 1

18x² - 2x

12x² - 2x

Differentiate y= 12x^-2

24x^-1

-24x^-3

-24x^-1

6x^-3

Find the derivative of the given equation
f(x) = 1/x²

1/2x

-2x

-2x^-3

Determine the ordinate of the point on a curve whose abscissa is -2 if the curve passes through (2, 3.5) and possesses a slope $\left(1\ -\frac{1}{x^2}\right)$ at any point (x, y) on the curve. [IIT - JEE 2013]

- 2.5

2.5

-1.5

1.5

If the derivative of sinx with respect to cosx is A, where A > 0, determine the value of $\sqrt{\left(\frac{-1}{A}\right)^{2\ }+\ 1}$ .

(a)

If f(x) = $x\tan^{-1}x$ , f'(1) is : [IIT-JEE 1979]

1 + π/4

1/2 + π/4

1/2 - π/4

If the surface area of a sphere of radius r increases uniformly at the rate of 8 cm²/s, the rate of change in its volume is : [IIT-JEE 2013] [HINT : Volume of sphere = tan53° x π $r^2$ and Surface Area of sphere = (Volume of sphere) x 3√r]

proportional to $r^2$

constant

proportional to r

proportional to √r

10.

The derivative of sin(2x)

2cos(x)

2sin(2x)

2cos(2x)

2xcos(2x)

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Introduction to Mathematics for JEE and NEET - Session 7

Total questions: 10

Worksheet time: 11mins

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