WorksheetsPower Rule: Polynomial Functions
Total questions: 18
Worksheet time: 50mins
f(x) = 7
f(x) = x3 + x2 + 3
f(x) = -4x
Find the slope of f(x) = -3x2 – 6x at x = 1.
m = 0
f'(x) = -6x - 6
f'(x) = 6x
m = -12
Write the slope of the line tangent to the graph of y=x2 – 2 at the point x = -8.
2
-4
-8
-16
This is a line that touches the function at a given point and has a slope that is equal to the instantaneous rate of change at a given point.
normal line
tangent line
delta line
secant line
Find dy/dx (the derivative) if y = 1 - x2
1 - 2x
-2x
-2
-1
f(x) = x2 + 2x
The derivative of a constant is always...
1
Not 0
0
The coefficient in front of x
The derivative of a linear term is...
The coefficient in front of x
0
-1
x
Find the derivative f(x)=x
f'(x)=-1
f'(x)=1
f'(x)=0
f'(x)=x
The derivative of the equation f(x)=c where c is a constant is...
1
0
x
-1
The derivative of a linear equation of the form f(x)=mx+b ?
f'(x)=x
f'(x)=0
f'(x)=b
f'(x)=m
The derivative of the equation f(x)=ax2+bx+c
f'(x)=2ax+b
f'(x)=2ax
f'(x)=2x
f'(x)=2ax+b+c
