Basic Rules and Differentiation

Addition Rule

100

f(x)=10x+5

Answer: 10

200

f(x)= 20x³-6x

Answer: 60x²-6

300

f(x)= 3x³+4x

Answer: 9x²+4

400

g(x)= 5x²+2x+7

Answer:10x+2

500

f(x)=8x³+2x²+6x^1/3

Answer: 24x²+4x+2x^-2/3

Subtraction Rule

100

f(x)=3x-8

Answer: 3

200

f(x)= 9x²-2x

Answer: 18x-2

300

g(x)= 6x³-5x

Answer: 18x²-5

400

g(x)= -8x³-10x²-7x

Answer: -24x²-20x-7

500

f(x)=-3x² -2x^-0.7 -1

Answer: -6x+1.4x^-1.7

Basic Rule

100

Differentiate x⁴

Answer: 4x³

200

Differentiate 12x²

Answer: 24x

300

Differentiate x

Answer: 1

400

Differentiate 4

Answer: 0

500

Differentiate 6x^-2

Answer: -12/x³

Complex Differentiation

100

Differentiate 3x²

6x

200

What is the deritative of 4x³+2x

12x²+2

300

Differentiate 5x⁴-3x²-x

20x³-6x-1

400

Differentiate (8x/2x²)

Answer -4/x²

500

Differentiate (5x²)(3x)/4x

Answer: 15x/2