Calc Is The Root Of All Evil

Power

100

What is the derivative of 3x+12-12

3

200

What is the derivative of 3x²+53-2

6x

300

What is the derivative of 4x⁵

20x⁴

400

What is the derivative of 45x²

90x-32

500

What is the derivative of 54x¹²

648x¹¹

Product

100

What is the derivative of (x-2)(x³+3)

4x³-6x²+3

200

What is the derivative of (x²+3)(x-2)

3x²-4x+3

300

What is the derivative of (x²)(x³+2x)

5x⁴+6x²

400

What is the derivative of (x²+3)(e^x)

e^x(x²+2x+3)

500

What is the derivative of (2x⁷+3)(arcsin(x))

(14x⁶)(arcsin(x))+(2x⁷+3)/sqrt(1-x²)

Quotient

100

What is the derivative of 5/tan(x)

-5sec²(x)/tan²(x)

200

What is the derivative of 5x/(x+1)

5/(x+1)²

300

What is the derivative of 5x²/(x+1)

(5x²+10)/(x+1)²

400

What is the derivative of 5x²/(x²+1)

10x/(x²+1)²

500

What is the derivative of (x²-1)/(x²+1)

4x/(x²+1)²

Chain

100

What is the derivative of sin²(x)

2sin(x)cos(x)

200

What is the derivative of 7(6x-3)³

105(5x-3)

300

What is the derivative of 8(5x-3)²

80(5x-3)

400

What is the derivative of 10^(x+10)

(ln(10))10^(x+10)

500

What is the derivative of 72(12x-6)⁵

4320(12x-6)

Log/Exponential

100

What is the derivative of e^{2x^2}

e^{2x^2} * 4x

200

What is the derivative of 12^{4x^3}

12^{4x^3} * ln(12) * 12x²

300

What is the derivative of ln(2x²)

2/x

400

What is the derivative of ln(4x³)

3/x

500

What is the derivative of ln 2x³

3/x