Higher Order Derivatives
What is the symbol for the third derivative of a function?
A. f'''(x)
B. f'(x)
C. f''(x)
D. f(x)
What is the symbol that represents the function?
A. u
B. x
C. y
D. g
What is the formula for the derivative of ln(u)
A. u/u'
B. u'/u
C. u/u
D. u'/u'
What is the formula for antiderivatives?
A. x^n + 1 / n + 1 + C
B. x^n / n + C
C. x^n + 1 / n + C
D. x^n / n + 1 + C
What is the second derivative of y = 2x^4
A. 16x^3
B. 16x^2
C. 24x^3
D. 24x^2
What is the formula for chain rule?
A. dy/dx = [f'(g(x))] [g'(x)]
B. du/dx = [f'(g(x))] [g'(x)]
C. dx/dx = [f'(g(x))] [g'(x)]
D. du/dy = [f'(g(x))] [g'(x)]
What is the formula for the derivative of log(u)
A. u' / u ln
B. u / u ln
C. u' / u ln a
D. u / u ln a
What is another term for antiderivative?
A. kill the derivative
B. integration
C. negative derivative
D. antifragile
What is the third derivative of y = 7x^3 + 5x^2 + 4x
A. 21x^2 + 10x + 4
B. 42
C. 14x^2 + 10x
D. 21x^3 + 10x^2
What is the symbol of derivative of u with respect to dx
A. dy/dx
B. du/dx
C. dx/dx
D. du/dy
What is the derivative of y = arcsin u
A. √1 - u / u
B. √1 - u / u'
C. u / √1 - u
D. u' / √1 - u^2
What is the antiderivative of dx
A. du
B. dy
C. x
D. C
What is the second derivative of y = sin (x)
A. cos (x)
B. -cos (x)
C. -sin (x)
D. csc(x)
Using the chain rule, what is the derivative of y = (x+2)^3
A. 3(x+2)
B. 3 + (x+2)
C. 3(x+2)^2
D. 3 + (x+2)^2
What is the derivative of y = arccos u
A. u' /√1 - u^2
B. u / √1 - u^2
C. -u' / √1 - u^2
D. -u / √1 - u^2
What is the antiderivative of y = x^3
A. x^4/4
B. x^3/3
C. x^3/3 + 3
D. x^4/4 + 4
What is the third derivate of y = sin(x) + cos(x)
A. -sin(x) + cos(x)
B. -sin(x) - cos(x)
C. -cos(x) + sin(x)
D. -cos(x) - sin(x)
Using the chain rule, what is the derivative of y = (4x^3 + 3)^4
A. 48x(4x^2 + 3)^2
B. 48x^2(4x^3 + 3)^3
C.48(4x^2 + 3)
D.48x(4x^3 + 3)^4
What is the derivative of y = arccos x^2
A. -2x / √1 - x^4
B. -2 / √1 - x^4
C. 2x / √1 - x^4
D. 2 / √1 - x^4
What is the antiderivative of 5 cos x dx
A. -5 cos x + C
B. -5 sin x + C
C. 5 sin x + C
D. 5 cos x + C