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Trigonometry
Second Derivatives
Explicit Differentiation
Equations of a line
Implicit Differentiation
100
This is said to be the derivative of tan(x)
What is sec^2(x)
100
f(t)=100t
What is 0
100
12x^3-24x
What is 36x^2-24
100
The slope of the tangent line to the function f(x)=x^3-3x^2+2 at point (3,2)
What is 9
100
3x^2+3y^2=12
What is -x/y
200
These three trig functions need a negative sign applied to their derivative.
What is cosine, cotangent, and cosecant
200
The second derivative of f(x)=(x^3+5)/x
What is (2x^3-10)/x^3
200
F(x)=xcos(x)
What is -xsin(x)+cos(x)
200
The slope of the normal line to the function (5x+5)^(1/2) at point (4,5)
What is -2
200
4x^2=2y^3+4y
What is 4x/(3y^2+2)
300
This trig function represents sec^2(y)-1.
What is tan^2(y)
300
xy+y^3=1
What is 2xy/(x=3y^2)^3
300
(x^2)/(3x-1)
What is (3x^2-2x)/(9x^2-6x+1)
300
The point slope form equation of the line tangent to the function y=-3/(x^2-25) at (-4,(1/3))
What is y=-(8/27)-(23/27)
300
2x^3=(3xy+1)^2
What is x^2-3xy^2-y/(3x^2y+x)
400
Differentiate x^3tanx
What is x^2(xsec^(2)x+3tanx)
400
5=4x^2+5y^2
What is -4/5y^3
400
y=(x^2+4x+6)^5
What is 10x+20(x^2+4x+6)^4
400
The equation of the normal line to the function y=-sin(2x) at point (-pi/2, 0)
What is y=-(1/2)x-(pi/4)
400
sin2x^2y^3=3x^3+1
What is 9x-4y^3cos2x^2y^3/(6xy^2cos2x^2y^3)
500
The derivative of sec^3(x)
What is 3sec^3(x)tanx
500
3x+2x^2(y^2)=1
What is 12x^2(y^2)-12xy^2-9/)16x^5(y^3)
500
DAILY DOUBLE!!!!!!!!!!!!!!!
y=(x^2+3)/(x^2+4)
500
These are the equations to the tangent lines and normal lines respectively to the function y=-x^3+15x^2-72x+100 at (4, -2)
What is y=-2 and x=4
500
x=3x^2/4y
What is 6xy-4y^2/3x^2