Misc I
Find the result of tan (-pi/4)
What is -1?
Find the derivative of: y =
(-3(3x - 2x^2))/(7x)
What is: y'=
6/7
y=sin(cosx)
-cos(cosx)sinx
Find the derivative of: y=(3x-2x2)(5 + 4x)
What is: y' = -24x2 +4x + 15.
Find the derivative of f(x) = [ cos(2x) ]2
What is: -4[cos(2x)](sin(2x))
Condense the expression
5log_3(x) - log_3(8x)
log_3(x^4/8)
Find the derivative of : y=
What is : y'=
(-5x^2 + 4x +5)/(x^2 +1)^2
f(t)=sqrt(1-t)
f'(t)=-1/(2(1-t)^1/2)
Find the derivative of: y= 3x2sin(4x).
What is: y'= 6x[sin(4x) + 2xcos(4x)]
Find the derivative of f(x) = sin2(4x)
What is 8 sin (x) cos (x)?
f(x)=2(x+1)^2-5
Find the derivative of: y=
(1 - cos x)/ sinx
What is: y'= csc2x - cscx cotx. or
(1- cosx)/ sin^2 x
s(t)=1/(t^2+3t-1)
(-2t-3)/(t^2+3t-1)^2
Find the derivative of: y= sin x cos x
What is: y'= cos2x - sin2x
Find the slope of f(x)= (5/x3) - 3(x2)- (1/x) at x = -1
What is -8?
Find the vertex of y= x2-5x-1.
What is (5/2, -29/4)?
Find the derivative of: y=
(x^2)/(2sqrtx + 1
What is: y' =
(x(3sqrtx + 2))/(2sqrtx + 1)
y=(2x-7)^3
y'=6(2x-7)^2
Find the derivative of: y = (x2 +3)(5x4 -(1/x))
What is: y'= 30x5 + 60x3 + (3/x2) - 1
Find the derivative of: f(x)= y=sin(tan 2x)
What is : 2cos(tan 2x)(sec2(2x))
or
[2cos(tan 2x)]/(cos2(2x))
Simplify the expression (1/(x+1))/(1/(x-1))
(x-1)/(x+1)
Find the slope of the tangent line at (4,7) to:
f(x)=
What is:
-17/4
y=sin(pi x)
y'=pi cos(pi x)
Find the derivative of: y= x2cos x, at c = pi/6.
What is: y' =
(pi*sqrt3)/6 - pi^2/72
The slope of the normal line to the curve y= (2x2) + 1 at (1,3) is
What is -1/4 ?
Simplify (2+\sqrt3)/(2-\sqrt5)
-9 - 2\sqrt3 - 2\sqrt5
Find an equation of the tangent line at (-1,1) of the graph: f(x) = [3 - (1/x)]/ (x +5)
What is: y= 1 ?
y=x^2e^x-2xe^x+2e^x
Find y'(2), if : y = (x - 4)(x2 + 6x -1)
What is: -5
Find the slope of the graph of f(x) at the given pt:
f(x)= 3cosx - 2x , (0,3)
What is : -2