Question 1

What's the derivative of x²?

Accepted Answer

2x

Question 2

What's the derivative of x^1/2?

Accepted Answer

1/2x-1/2

Answer

1/2x1/2

Answer

x1/2

Answer

1/2x

Question 3

What's the derivative of x^-1?

Accepted Answer

-x-2

Answer

-x

Answer

1

Answer

-2x

Question 4

What's the derivative of 1/(x+1)

Accepted Answer

-1/(x+1)2

Answer

1

Answer

(x+1)2/1

Answer

x+1/(x+1)²

Question 5

What's the derivative of: ^{$\frac{t^2+2t-1}{\left(t-1\right)\left(t+1\right)}$}

Accepted Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Question 6

Find the derivative of: sin(2x+5)

Accepted Answer

2cos(2x+5)

Question 7

Find the following integral: $\int_{ }^{ }\left(4x^2+7x-5\right)dx$

Accepted Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

8x³ +7x²-5x+C

Answer

8x+7

Question 8

Find the following integral: $\int_{ }^{ }\left(4x^2+7x-5\right)dx$

Accepted Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Question 9

Evaluate the following integral either by part or substitution: $\int_{ }^{ }\left(4x^2+7x-5\right)dx$

Accepted Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Answer

$\frac{-2t^2-2}{\left(t^2-1\right)^2}$

Question 10

Evaluate (to four decimal) the following integral either by part or substitution: $\int_{ }^{ }\left(4x^2+7x-5\right)dx$

Accepted Answer

4,5746

Related quizzes