Derivatives
The derivative of any constant.
What is 0?
The integral of sin(x).
What is -cos(x)?
sin2(θ) + cos2(θ) =
What is 1?
[dy/dt]/[dx/dt]=?
What is dy/dx?
The derivative of √ x
What is 1/(2√ x)?
∫[3x2/(x3-1)]dx
What is ln(x3-1)+C?
cot([π /2]-θ) =
What is tanθ?
dy/dx=?
x(t)=6t2-14t+10
y(t)=-2t3+9t2+4t
What is [-3t2+9t+2]/[6t-7]?
The second derivative of ln(x).
What is -1/(x^2)?
∫(e5x)dx
What is 1/5 e5x+C?
[tan(x)+tan(y)]/[1-tan(x)tan(y)] =
What is tan(x+y)?
ArcLength=?
x=sint
y=cost
from t=0 to t=π
What is π?
L=∫ab [√({dx/dt}2+{dy/dt}2)]dt
L=∫0π [√(cos2t+sin2t)]dt=∫0π (1)dt
The derivative of cos(x^3)/x.
What is [-3(x^3)sin(x^3)-cos(x^3)]/[x^2] ?
∫π0 (10L9)dL
What is -π10?
cos2θ-sin2θ =
What is cos2θ?
v(t)=<10t3,5t2>
x(t)=?
x(t)=<30t2,10t>
The derivative of ∫0 x^2 (cos(x))dx.
What is 2xsin(x)?
The integral of 1/[x√({x^2}-1)].
What is sec^-1(x)+C?
[2tanθ]/[1-tan2θ] =
What is tan2θ?
f(t)=<sint,cost>
f(0)=<1,-1>
∫f(t)dt=?
What is ∫f(t)dt=<-cost+2,sint-1>?