WorksheetsIntro to Derivatives
Total questions: 11
Worksheet time: 15mins
Name
Class
Date
1.
Find the derivative of the given equation
f(x) = x4 + 4x3 - 2x2
f(x) = x4 + 4x3 - 2x2
a)
x3 + x2 - x
b)
4x3 + 12x2 + 4x
c)
4x + 12x - 4x
d)
4x3 + 12x2 - 4x
2.
What is the derivative of y=xn?
a)
y'=(n+1)xn
b)
y'=(n-1)xn
c)
y'=(n)xn+1
d)
y'=(n)xn-1
3.
Differentiate f(x)=x52−5
a)
x5-3
b)
-10x6
c)
x5-5
d)
-10x-6
4.
what is the derivative of f(x)= 2x2+6x-7?
a)
4x-6
b)
2x+6
c)
4x+6
d)
2x2
5.
The slope of the tangent line is...
a)
the slope of the normal line
b)
the original graph
c)
the reciprocal of the graph of f(x)
d)
the derivative
6.
When we "take the derivative" of a function what are we finding?
a)
What's a derivative?
b)
The rate at which our struggles in Calculus are increasing.
c)
The slope of the secant line
d)
The slope of the tangent line
7.
Find the derivative. f(x) = -8x-3 + 5x
a)
f'(x) = -24x-4 + 5
b)
f'(x) = 24x-4 + 5
c)
f'(x) = 24x-2 + 5
d)
f'(x) = 24x-4 - 5
8.
Differentiate f(x) = 5x7.
a)
35x6
b)
210x5
c)
5x6
d)
1050x4
9.
Solve f '(2) for
f(x) = x2 + 2x
f(x) = x2 + 2x
a)
2x + 2
b)
6
c)
12
d)
2x
10.
Differentiate f(x)=∛x9
a)
9x-1/3
b)
-3x-4/3
c)
-9x2/3
d)
-3x2/3
11.
find dy/dx
a)
dy/dx = 2 x-1
b)
dy/dx =2 x-2
c)
dy/dx= −2x-2
d)
dy/dx= −2 x-1
100 %
