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Terms
Derivative Rules
Derivatives
Trig Derivatives
Grab Bag
100
The value that a function or expression approaches as the domain variable(s) approach a specific value.
What is a limit.
100
d/dx (x^n )=nx^(n-1)
What is the power rule.
100
f(x)=4 f^'(x) =?
What is 0.
100
f(x)=sinx f^'(x) =?
What is cosx.
100
d/dx (lnx)=1/x
What is the derivative of a natural log.
200
The branch of mathematics dealing with limits, derivatives, definite integrals, indefinite integrals, and power series.
What is calculus.
200
d/dx (k)=0
What is the constant rule.
200
f(x)=4x f^'(x) =?
What is 4.
200
f(x)=cosx f'(x)=?
What is -sinx.
200
d/dx (cotx)=
What is 〖-csc〗^2 x.
300
A function which gives the slope of a curve; that is, the slope of the line tangent to a function.
What is a derivative.
300
d/dx (u+v)=du/dx+dv/dx
What is the sum rule.
300
f(x)=x^2 f^'(x) =?
What is 2x.
300
f(x)=tanx f'(x)=?
What is 〖sec〗^2 x.
300
∫▒x^n dx=
What is 1/(n+1) x^(n+1)+c.
400
The result of either a definite integral or an indefinite integral.
What is the integral of a function.
400
d/dx (uv)=u^' v+v^' u
What is the product rule.
400
f(x)=x^2+2x f^'(x) =?
What is 2x + 2
400
f(x)=secx f'(x)=?
What is secx tanx
400
∫▒1/x dx=
What is ln|x|+c.
500
The process of finding an integral, either a definite integral or an indefinite integral.
What is integration.
500
d/dx (u/v)=(u^' v+v^' u)/v^2
What is the quotient rule.
500
f(x)=(x^3+7x-1)(5x+2) f^'(x) =?
What is 20x^3+6x^2+70x+9.
500
f(x)=cscx f'(x)=?
What is -cscx cotx
500
Who is the best college basketball team in all the land?
What is the North Carolina Tar Heels!