General Equations
Find the Derivative of the Trigonometric Function
Find the Derivative of the Polynomial
Find the Higher Order Derivative
Apply the Chain Rule
100
This equation is known as the "Derivative of a Constant Rule."
What is df/dx = d/dx(c)=0
100
This is the derivative of sin(x).
What is cos(x)?
100
This is the derivative of y=2x^2-5.
What is 4x?
100
This is the term for the derivative of acceleration (da/dt).
What is jerk?
100
This is the definition of the Chain Rule.
What is d/dx f(g(x)) = f'(g(x)) * g'(x)?
200
This equation is known as the "Sum and Difference Rule".
What is d/dx(u+/-v)= du/dx +/- dv/dx
200
This is the derivative of tan(x).
What is sec^2(x)?
200
This is the derivative of y=3x^5-x.
What is 15x^4-1?
200
y'= 4x^3+x^2 Find y".
What is 12x^2+2x?
200
y=(x^2+1)^3 Find the derivative.
What is 6x(x^2+1)^2?
300
This equation is known as the "Product Rule."
What is d/dx(u•v)= u•dv/dx + v•du/dx
300
This is the derivative of sec(x).
What is sec(x)tan(x)?
300
This is the derivative of y=13x^4-6x^3-x-1.
What is 52x^3-18x^2-1?
300
y"=2x^4-x^3 Find the fourth derivative.
What is 24x^2-6x?
300
y=cos(x^2+1) Find the derivative.
What is -2x sin(x^2+1)?
400
This equation is known as the "Power Rule."
What is d/dX(X^n)= nX^n-1
400
This is the derivative of csc(x).
What is -csc(x)cot(x)?
400
This is the derivative of y=x^4-9x^2-5x at the point (3,15).
What is 49?
400
y=5x^3+2x^2-3x+2 Find the third derivative.
What is 30?
400
y=(3x^4-2x^2)^8 Find the derivative in the most simplified form.
What is the equation dy/dx=32x(3x^2-1)(3x^4-2x^2)^7?
500
This equation is known as the "Quotient Rule."
What is d/dx(u/v)= (v•du/dx - u•dv/dx)/v^2
500
Find dy/dx: y= 1 + x - cos(x)
What is 1 + sin(x)?
500
This is the derivative of y=-1/4x^8+1/2x^4-3^2.
What is -2x^7+2x^3?
500
y=3ln|x| Find the second derivative.
What is -3/x^2?
500
y=tan(5-sin2x) Find the derivative.
What is the equation dy/dx=-2(cos2x)(sec^2(5-sin2x))?
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