Recent questions in Application of Derivatives

find intervals in which function given by f(x) = sin 3x where x belongs [0, pi/2] is 1 increasing 2 decreasing

asked Feb 26, 2017 by myselfdishu

1 answer

The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base ?

asked Dec 8, 2016 by priyanka.c

1 answer

The radius of a circle is increasing uniformly at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10cm long ?

asked Dec 7, 2016 by priyanka.c

1 answer

The total revenue in Rupees received from the sales of $x$ units of a product is given by $Rx = 3x^2 + 36x +5$ . Find the marginal revenue , when $x=15$, where by marginal.

asked Dec 6, 2016 by priyanka.c

1 answer

application of derivatives

asked Mar 4, 2016 by _1

0 answers

An open box with square base is to be made of a given quantity of card board of area $ 36 sq.metre.$ Find the maximum volume of the box.

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

SHOW THAT THE SEMI VERTICAL ANGLE OF THE CONE OF THE MAXIMUM VOLUME AND OF GIVEN SLANT HEIGHT IS

asked Jan 9, 2014 by guptaaakanksha2_1

0 answers

question no. 25 of exercise 6.5

asked Jan 9, 2014 by guptaaakanksha2_1

1 answer

question no. 25 of exercise 6.5

asked Jan 9, 2014 by guptaaakanksha2_1

0 answers

question no. 25 of exercise 6.5

asked Jan 9, 2014 by guptaaakanksha2_1

0 answers

question no. 25 of exercise 6.5

asked Jan 9, 2014 by guptaaakanksha2_1

0 answers

Find the equation of the tangent and normal to the curve $ \;y=\large\frac{1+\sin x}{\cos x}$ at $\;x=\large\frac{\pi}{4}$

asked Dec 23, 2013 by balaji.thirumalai

1 answer

The cost of construction for an open tank is Rs. 200 per sq. unit for the base, and the cost for doing the walls is Rs. 150 per sq. unit. An open tank is to be constructed with rectangular base of height 2 units and volume of 8 cubic units.What is the cost of the least expensive open tank given these constraints?

asked Dec 23, 2013 by balaji.thirumalai

1 answer

If the radius of a sphere is measured as $70$ cm with an error of $0.03$cm, then find the approximate error in calculating its surface area

asked Dec 22, 2013 by balaji.thirumalai

1 answer

The interval on which the function $f(x)=2x^3+9x^2+12x-1$ is decreasing is :

asked Aug 12, 2013 by sreemathi.v

1 answer

Two curves $x^3-3xy^2+2=0$ and $3x^2-y^3-2=0$ intersect at an angle of

asked Aug 12, 2013 by sreemathi.v

1 answer

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $(iv)\: f (x) = (x-1)^2+3, x \in [– 3, 1] $

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $(iii)\: f (x) =4x-\large\frac{x^2}{2}$$, x \in [– 2, \large\frac{9}{2}] $

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $ f (x) = \sin x+\cos x, x \in [0,\pi] $

asked Aug 7, 2013 by sreemathi.v

1 answer

Prove that the following functions do not have maxima or minima: $ (iii)\: h (x) =x^3+x^2+x+1 $

asked Aug 7, 2013 by sreemathi.v

1 answer

Prove that the following functions do not have maxima or minima: $ (ii)\: g(x)=\log x $

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (viii)\: f (x) = x\sqrt{1-x}$$,x>0$

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (vii)\: f (x) = \large\frac{1}{x^2+2}$

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ f (x) =\large\frac{x}{2}$$+\large\frac{2}{x}$$,x>0$

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ f (x) =x^3-6x^2+9x+15$

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ f (x) =\sin x-\cos x,0 < x <2\pi$

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (iii)\: h(x)=\sin x+\cos x$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (ii)\: g (x) = x^3-3x$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by $ (v) \: h (x) =x+1,x\in (-1,1)$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by $ (iv) \: f (x) =\mid\sin 4x+3\mid$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by $ (iii) \: h(x) = \sin (2x)+5$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by $ f (x) = -\mid x+1\mid+3$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by?$(iv)\;f(x)=x^3+1$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by?$f(x)=-(x-1)^2+10$

asked Aug 6, 2013 by sreemathi.v

1 answer