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Mathematics
UTME / JAMB 2004
Calculus
Solution
Find the derivatives of the function y = 2x\(^2\)(2x - 1) at the point x = -1?
A
18
B
16
C
-4
D
-6
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2003
Calculus
Solution
Find the slope of the curve y = 2x\(^2\) + 5x - 3 at (1, 4).
A
4
B
6
C
7
D
9
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2003
Calculus
Solution
Determine the maximum value of y = 3x2 - x3
A
zero
B
2
C
4
D
6
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2002
Calculus
Solution
If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x.
A
2x2 - 3x
B
x2 - 3x
C
x2 - 3x - 3
D
x2 - 3x + 3
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2002
Calculus
Solution
If \(y = x^2 - \frac{1}{x}\). find dy/dx
A
2x - (1/x2)
B
2x + x2
C
2x - x2
D
2x + (1/x2)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2001
Calculus
Solution
Differentiate \((2x+5)^{2} (x-4)\) with respect to x.
A
4(2x+5)(x-4)
B
4(2x+5)(4x-3)
C
(2x+5)(2x-13)
D
(2x+5)(6x-11)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2000
Calculus
Solution
A trader realizes 10x - x\(^2\) naira profit from the sale of x bags on corn. How many bags will give him the desired profit?
A
4
B
5
C
6
D
7
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2000
Calculus
Solution
A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?
A
y = \(\frac{3x^2}{2}\) + 2x
B
y = (3x2)/2 + x
C
y = 3x2 + (x/2)
D
y = 3x2 +2x
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 1999
Calculus
Solution
Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\)
A
\(\frac{-10}{3}\)
B
7
C
9
D
11
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 1999
Calculus
Solution
If y = 3x\(^2\)(x\(^3\) + 1)\(^{\frac{1}{2}}\). Find \(\frac{\text{dy}}{\text{dx}}\)
A
\(\frac{9x^4 + 12x (x^3 + 1)}{2\sqrt{x^3 + 1}}\)
B
\(\frac{3x^2 + 6x (x^3 + 1)}{2\sqrt{x^3 + 1}}\)
C
\(\frac{9x^2 + 12x (x^3 + 1)}{2\sqrt{x^3 + 1}}\)
D
\(\frac{15x^4 + 6x}{6x^2\sqrt{x^3 + 1}}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 1997
Calculus
Solution
Differentiate \(\frac{6x^3 - 5x^2 + 1}{3x^2}\) with respect to x
A
\(\frac{2 + 2}{3x^3}\)
B
2 + \(\frac{1}{6x}\)
C
2 - \(\frac{2}{3x^3}\)
D
\(\frac{1}{5}\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 1997
Calculus
Solution
If \(y = x(x^4 + x + 1)\), evaluate \(\int \limits_{0} ^{1} y \mathrm d x\).
A
\(\frac{11}{12}\)
B
1
C
\(\frac{5}{6}\)
D
zero
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 1993
Calculus
Solution
Integrate \(\frac{1 - x}{x^3}\) with respect to x
A
\(\frac{x - x^2}{x^4}\) + k
B
\(\frac{4}{x^4} - \frac{3 + k}{x^3}\)
C
\(\frac{1}{x} - \frac{1}{2x^2}\) + k
D
\(\frac{1}{3x^2} - \frac{1}{2x}\) + k
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 1992
Calculus
Solution
Evaluate \(\lim \limits_{x \to 2} \frac{(x - 2)(x^2 + 3x - 2)}{x^2 - 4}\)
A
7
B
2
C
3
D
4
medium Difficulty
Study Solution