stupid dumb dumb derivatives

What is the derivative of sin(x)?

cos(x)

What is the derivative of cos(x)?

−sin(x)

What is the derivative of tan(x)?

sec²(x)

What is the derivative of csc(x)?

−csc(x)·cot(x)

What is the derivative of sec(x)?

sec(x)·tan(x)

What is the derivative of cot(x)?

−csc²(x)

Derivative of x²

2x

Derivative of x^4

4x³

Derivative of f(x)+g(x)

f’(x)+g’(x)

Derivative of f(x)-g(x)

f’(x)-g’(x)

Derivative of f(x)*g(x)

f’(x)*g(x)+f(x)*g’(x)

Derivative of f(x)/g(x)

(f’(x)*g(x)-f(x)*g’(x))/(g(x)²)

Derivative of f(g(x))

f’(g(x)) * g’(x)

Derivative of 3f(x)

3f’(x)

What is the derivative of sin⁻¹(x)?

1 / √(1 - x²)

What is the derivative of cos⁻¹(x)?

−1 / √(1 - x²)

What is the derivative of tan⁻¹(x)?

1 / (1 + x²)

What is the derivative of cot⁻¹(x)?

−1 / (1 + x²)

What is the derivative of sec⁻¹(x)?

1 / [|x|√(x² − 1)]

What is the derivative of csc⁻¹(x)?

−1 / [|x|√(x² − 1)]