Show:
Limits
Derivatives
Derivatives Part 2
Integrals
Antiderivatives
100

lim x→−3    (x^2-x-12)/(x+3)

What is -7

100

Find the derivative of the function: g(x)= 3x*sin^(2x) - x^2 *cos (x)

What is x^(1/2 )(4-3x) /2(x^2 - 4x)^2

100
d [(3x-2x^3)(5+4x)] -- dx
What is -24x^2+4x+15
100
Integrate: ∫xe^x dx
What is xe^x - e^x + C
100
∫ 15x^4 dx
What is 3x^5+C
200
lim (2+h)^2 - 4/ h h->0
What is 4
200
Find the derivative of the function: y= 5 secxtanx
What is y'= 5 secx (2tan^2x+1) or y'= 5 secx (tan^2x +sec^2x)
200
d/dx [5x^3-sinx]
What is 15x(sinx)+5x^3(cosx)
200
∫ x sin x dx
What is -xcosx + sinx +C
200
∫ -3x^2 dx
What is -x^3 +c
300

lim t-->9   (3- √t)/( 9 - t)

What is 1/6

300
y= (2x^2 +5) ^7
What is y'=28x(2x^2 +5)^6
300
d/dx(3z^2-4z)
What us 6z-4
300
Integrate: ∫lnx dx
What is x ln x - x + C
300
∫ 2/z^2 dz
What is -1/z^2 +c
400
lim 1/w - 1/2 / w->2 w-2
What is -1/4
400
Find the derivative of the function: f(x)= 7 ^ 1/x
What is f(x)= -ln7*7^1/x / x^2
400
d/dx (3t^5 cost -2t^9)
What is 15t^4 - 3t^5sint-18t^8
400
Integrate: ∫x( √x+3) dx
What is (2/3)x(x+3)^3/2-(4/15)(x+3)^5/2+C
400

∫ cot(x)* sin(x) dx

What is sinx+C

500

lim x->0   (cos [3pi/2 + x]- cos[3pi/2]) /x 

What is 1

500
Find the derivative of the function: y= arccos [x/3]
What is y'= -√9-x^2
500

Is f(x)= { |x-2| for x<2 (x-3)^2-1 for x=> 2

what is  DNE because the values don't exist at the same points

500

Integrate: ∫ x sin x  dx

What is -x*cos(x) +sin(x) +C

500

∫ (7t+8)^3 dt

What is (1/28) (7t+8)^4  + C