Calculus Semester 1 Review

Front

What is the derivative of cot(x)?

Back

-csc²(x)

Front

What is the derivative of xⁿ?

Back

nx^n-1

Front

Back

(3x²-2) cos(x³-2x)

Front

If the position of a particle is represented by s(t) = -t² + 1, what is its position at t = 1?

Back

Position = 0

Front

If the position of a particle is represented by s(t) = -t² + 1, what is its instantaneous velocity at t = 1?

Back

Velocity = -2

Front

Find the derivative. f(x) = -8x^-3 + 5x

Back

f'(x) = 24x^-4 + 5

Front

What is the limit?

Back

20

Front

Find the second derivative of the function:
f (x) =  2x - 5x⁶

Back

f ''(x) = -150x⁴

Front

Find dy/dx by Implicit Differentiation
x³ +y³ = 36

Back

−x²/y²

Front

Find dy/dx by Implicit Differentiation
2xy³ - x²y = 2

Back

2y(x-y²)/x(6y²-x)