
Introduction to differential calculus
Presentation
•
Mathematics
•
12th Grade
•
Practice Problem
•
Medium
Emmanuel Ogbone
Used 15+ times
FREE Resource
3 Slides • 10 Questions
1
OVERVIEW
Calculus is a branch of mathematics that deals with the calculation of instantaneous changes (differential calculus) and the summing of an infinite number of small factors to determine some whole (integral calculus). In the 17th century, two mathematicians, Isaac Newton and Gottfried Wilhelm Leibniz, independently developed calculus. Anyone wishing to pursue a degree in physics, chemistry, biology, economics, finance, or actuarial science should start with calculus. With calculus, you can predict a dam's water level or track the position of a space shuttle. Computers have become a valuable tool for solving calculus problems that were once considered impossibly difficult.
2
3
4
Multiple Choice
What is the derivative of xn?
(n-1)xn
nxn+1
(n+1)xn-1
nxn-1
5
Multiple Choice
Find the derivative and gradient at the pont x=2 y=2x4−3x
8x3−3, 61
8x4−3x, 138
8x3−3, 67
52x5 −23x2, 24
6
Multiple Choice
4x-⅓
4x-⅔
6x⅓
4x⅓
7
Multiple Choice
first derivative
second derivative
third derivative
expression
8
Multiple Choice
Find the derivative of f(x) = 2x5+3x
10x4+3
2x4+3
10x5+3
10x5+3x
9
Multiple Choice
Find the derivative of:
f(x) = 2x2 - 8x + 9
4x
4x + 8
4x - 8
9
10
Multiple Choice
What is the derivative?
dxdy=18x2−6x+1
dxdy=18x3−6x−7
dxdy=6x2−3x+1
dxdy=18x2−6x+1−7
11
Multiple Choice
12
Multiple Choice
13
Multiple Choice
f(x) = 7(3x + 4)5
OVERVIEW
Calculus is a branch of mathematics that deals with the calculation of instantaneous changes (differential calculus) and the summing of an infinite number of small factors to determine some whole (integral calculus). In the 17th century, two mathematicians, Isaac Newton and Gottfried Wilhelm Leibniz, independently developed calculus. Anyone wishing to pursue a degree in physics, chemistry, biology, economics, finance, or actuarial science should start with calculus. With calculus, you can predict a dam's water level or track the position of a space shuttle. Computers have become a valuable tool for solving calculus problems that were once considered impossibly difficult.
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