Recent questions and answers in Application of Derivatives

The function $ f(x)=2 log (x-2) - x^2+4x+1 $increases in the interval.\[(a)\;(1,2)\qquad(b)\;(2,3)\qquad(c)\;(5/2,3)\qquad(d)\;(2,4)\]

answered Mar 7, 2018 by ranjani.hogwarts

1 answer

If the line ax+by+c = 0 is normal to the curve xy = 1 then \[(a)\;a>0,b>0 \qquad (b)\;a<0,b<0 \qquad(c)\;a<0,b>0\qquad(d)\;a<0,b<0.\]

answered Jul 5, 2017 by toshit.jain

1 answer

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

answered May 13, 2017 by nikunjjain285

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 ?

answered 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 ?

answered 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.

answered 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.

answered Feb 4, 2014 by rvidyagovindarajan_1

1 answer

A man, 2m tall, walks at the rate of $1\frac{2}{3}m/s$ towards a street light which is $5\frac{1}{3}m$ above the ground.At what rate is the tip of his shadow moving?At what rate is the length of the shadow changing when he is $3\frac{1}{3}m$ from the base of the light?

answered Jan 20, 2014 by balaji.thirumalai

1 answer

question no. 25 of exercise 6.5

answered Jan 11, 2014 by balaji.thirumalai

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

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

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is $\large\frac{2R}{\sqrt 3}$ . Also find the maximum volume.

answered Jan 6, 2014 by yamini.v

2 answers

Find the maximum area of an isosceles triangle inscribed in the ellipse $\large\frac{x^2}{a^2} + \frac{y^2}{b^2} $$= 1 $ with its vertex at one end of the major axis.

answered Jan 6, 2014 by yamini.v

2 answers

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

answered 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?

answered 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

answered Dec 22, 2013 by balaji.thirumalai

1 answer

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x = 8 cm and y = 6 cm, find the rate of change of (a) the perimeter, (b) the area of the rectangle.

answered Nov 15, 2013 by sreemathi.v

1 answer

Find the maximum value of $2x^3 – 24x + 107$ in the interval $[1, 3]$.

answered Aug 19, 2013 by sreemathi.v

1 answer