Computations Flashcards
What is the D/dx [tan x] ?
Sec^2 x
What is the d/dx of [cot x]?
-csc^2 x
What does -csc^2 x turn into? Since it does not exist,
-cot^2 x -1
What is the d/dx of [sec x]
Sec x tan x
What is the derivative of [csc x]?
-cscx cotx
What is the formula of the constant rule?
D/dx (c)= 0
What is the formula of the power rule?
D/dx (x^n) = nx^n-1
What is the formula of the constant multiple rule?
D/dx (cf(x)) = cf ’(x)
What is the formula for the sum and difference rule?
f ‘ (x)➖g ‘ (x)
f ’ (x) ➕ g ‘ (x)
What is the derivative of the product rule?
f ‘ (x) g(x) ➕ g ‘ (x) f(x)
What is the derivative of the quotient rule?
g(x) f ‘ (x) ➖ f (x) g ‘ (x) / (g(x))^2
What is the derivative of extended power rule? (Hint: rational number)
nx^n-1
What is the derivative of [sin x]?
Cos x
What is the derivative of [Cos x ]?
-sin x
What is the chain rule?
A method of finding derivatives of composite functions
What is velocity?
Object moving along a line on graph. (Ex: up, down, left or right)
What is speed?
Talking about how fast the object is moving on the graph
What is acceleration?
The rate of change of speed in one particular direction
What is the chain rule differentiable function of sin u?
Cos u
What is the chain rule differentiable function of tan u?
Sec^2 u
What is the chain rule differentiable function of sec u?
Sec u tan u
What is the chain rule differentiable function of cos u?
—sin u
What is the chain rule differentiable function of cot u?
-csc^2 u
What is the chain rule differentiable function of csc u?
-csc u cot u
What is the derivative of the inverse trig function of (sin^-1 (x))
1/ square root of 1➖x^2
What is the derivative of the inverse trig function of (cot^-1 (x))
➖ (1/ 1+ x^2 )
What is the derivative of the inverse trig function of (tan^-1 (x)).
1 /1➕ x^2
What is the derivative of the inverse trig function of (sec^-1 (x))
1/ |x| square root x^2 -1
What is the derivative of the inverse trig function of (cos^-1 (x))
➖( 1/ square root 1–x^2)
What is the derivative of the inverse trig function of (sin^-1 (x))
What is the derivative of the inverse trig function of (csc^-1 (x))
1/ |x| square root x^2-1
