Power Rule
Find g'(x) given
g(x)=2x^2-3x
g'(x)=4x - 3
Find f'(x) given
f(x)=2x^5sin(x)
f'(x)=10x^4sin(x)+2x^5cos(x)
f'(x)=2x^4[5sin(x)+xcos(x)]
Find g'(x) given
g(x)=e^(2x)
g'(x)=2e^(2x)
Find the slope of the graph of the function at (1,-1)
f(x)=3x^2-4x
f'(1)=2
How is Mr. Beck (substitute) related to Ms. Crawford?
Find f'(x) given
f(x)=6/x
f'(x)=-6/x^2
Find y' given
y=(x^2-3)^3
y'=3(x^2-6)^2*2x
y'=6x(x^2-6)^2
Find f'(x) given
f(x)=ln(4x^2)
f'(x)=2/x
The position of a particle as it moves along a line is given by s(t) below, where s is measured in meters, t is measured in seconds.. Find the instantaneous velocity when t=6.
s(t)=t^2-12t+16
s'(6)=v(6)=0
What is the name of Ms. Crawford's cat?
What is burrito?
Find h'(x) given
h(x)=4sqrtx
h'(x)=2/sqrtx
Find y' given
y=5cos(9x+1)
y'=-45sin(9x+1)
Given the function below, find f''(x).
f(x)=15x^(5/2)
f''(x)=225/4x^(1/2)
Write the equation of the normal line to the given function when x=2.
g(x)=2x^2-3x
y-2=-1/5(x-2)
How old is Ms. Crawford?
What is 27?
Find f'(x) given
f(x)=3/(2x^2)
f'(x)=-3/x^3
Find y'' given
y=(6x^4-3x^5+5x^3)/x^3
y''=-6
Find y' given
y=3^(5x^2)
y'=3^(5x^2)*ln(3)*10x
The surface area of a cube with sides of length x is given by S (below). Find the rate of change of the surface area with respect to x when x=5 inches.
S=6x^2
60 inches
What is the name of Ms. Crawford's son?
What is Christian?
Find y' given
y=pi^5*e^10
y'=0
Find f'(x) given
f(x)=(2x+7)/(x^2+4)
f'(x)=(2(x^2+4)-2x(2x+7))/((x^2+4)^2)
f'(x)=(-2x^2-14x+8)/((x^2+4)^2)
Find y' given
y=csc(2x)+cot(2x)
y'-2csc(2x)cot(2x)-2csc^2(2x)
The position of an object in harmonic motion is given by y (below), where y is measured in feet and t is the time in seconds. Determine the velocity of the object when t= pi/4.
y=1/4cos(8t)-1/4sin(8t)
y'=-2
Where is Ms. Crawford going to school for her Masters in Mathematics?
What is the University of Houston?