# Jambmaths

Maths Question
Question 14

A trader realizes 10 – x2 naira profit from the sales of x bags of corns. How many bags will give him maximum profit.

Question 34

If $y=2x\cos 2x-\sin 2x$, find $\frac{dy}{dx}$when $x=\tfrac{\pi }{4}$

Question 36

If the volume of hemisphere is increasing at a steady rate of 18πm3s–1 . At what rate is its radius changing when it is 6m

Question 33

If the gradient of the curve $y=2k{{x}^{2}}+x+1$ at x =  1 is 9. Find k

Question 35

Differentiate (2x + 5)2 (x – 4) with respect to x

Question 37

Find the rate of change of the V of a sphere with respect to its radius r when r =1

Question 38

If $y=x\sin x$ find $\frac{dy}{dx}$ when $x=\tfrac{\pi }{2}$

Question 39

Find the dimension of the rectangle of greatest areas which has a fixed perimeter p.

Question 8

Find the derivative of y =sin25x with respect to

Question 9

The slope of the tangent to the curve $y=3{{x}^{2}}-2x+5$at the point (1,6) is

Question 11

A circle with radius 5cm has its radius increasing at the rate of 0.2cms-1. What will be the corresponding increase in the area?

Question 12

If $y={{x}^{2}}-\frac{1}{x},$find $\frac{dy}{dx}$

Question 18

Find the maximum value of y in the equation $y=1-2x-3{{x}^{2}}$

Question 36

Find the slope of the curve $y=2{{x}^{2}}+5x-3$at (1,4)

Question 38

If $y=3\sin (-4x),\frac{dy}{dx}\text{ is }$

Question 39

Determine the maximum value of $y=3{{x}^{2}}-{{x}^{3}}$

Question 12

If $y=3\cos (\tfrac{x}{3})$find $\frac{dy}{dx}$when $x=\tfrac{3\pi }{2}$

Question 13

Find the derivative of $(2+3x)(1-x)$with respect to x

Question 14

What is the rate of change of the volume V of a hemisphere with respect to its radius when r =2

Question 15

Find the derivative o the function $y=2{{x}^{2}}(2x-1)$ at the point x = –1

Question 1

If $y={{(1-2x)}^{3}}$Find the value of $\frac{dy}{dx}$at x =1

Question 3

The  radius of circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm

Question 3

The  radius of circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm

Question 5

The maximum value of the function $f(x)=2+x-{{x}^{2}}$is

Question 6

Find the derivative of $y=\sin (2{{x}^{3}}+3x-4)$

Question 3

Differentiate ${{\left( {{x}^{2}}-\tfrac{1}{x} \right)}^{2}}$ with respect to x

Question 4

Find the value of x for which the function $3{{x}^{3}}-9{{x}^{2}}$ is minimum

Question 6

Differentiate ${{(\cos \theta -\sin \theta )}^{2}}$ with respect to θ

Question 36

If $y=x\cos x$find $\frac{dy}{dx}$

Question 37

If $y={{(1+x)}^{2}},$find $\frac{dy}{dx}$

Question 38

Find the value of x for which the function $f(x)=2{{x}^{3}}-{{x}^{2}}-4x+4$has a maximum value

Question 36

Find the derivative of $y=\frac{{{x}^{7}}-{{x}^{5}}}{{{x}^{4}}}$

Question 37

Differentiate sin xx cos x

Question 38

Find the minimal value of the function $y=x(1+x)$

Question 36

If $y=3\cos 4x,\text{ }\frac{dy}{dx}$ equals

Question 37

If $s=(2+3t)(5t-4),\text{ find }\frac{ds}{dt}$ when t = $\tfrac{4}{5}$secs.

Question 38

What is the value of x will make the function $x(4-x)$ a maximum?

Question 39

The distance travelled by a particle from a fixed point is given as $s={{t}^{3}}-{{t}^{2}}-t+5$find the minimum distance that the particle can cover from the fixed point.

Question 40

If $y={{(2x+1)}^{3}},\text{ find }\frac{dy}{dx}$

Question 41

If $y=x\sin x,\text{ find }\tfrac{dy}{dx}$