Derivatives Using Basic Rules

Derivatives using basic rule

​By Isabella and Julio

​Constant Rule

Power Rule

Power rule & Constant Rule

Multiple Choice

$$F\left(x\right)=x^4$$

Find F'(x)=

• 4x

• $$4x^2$$

• $$4x^3$$

• $$4x^4$$

Multiple Choice

F(x)=9

Find F'(x)

• 9

• 9x

• 0

• 1

Single variable rule & Constant Multiple

​Constant multiple rule

Single Variable Rule

Multiple Choice

f(x)=x

• x

• 0

• 1

• $$x^2$$

Multiple Choice

$$f\left(x\right)=8x^6\cdot7$$

Find F'(x)

• $$7\cdot48x^6$$

• $$7\cdot48x^5$$

• 8x+7

• $$7\cdot42x^5$$

Exponential (base e) Rule

Sum & Diff. Rule

Sum & Difference Rule and Exponential (base e) Rule

Multiple Choice

$$f\left(x\right)=\left[3x^5+4x^4\right]$$

Find f'(x)

• $$15x^4+16x^3$$

• $$15x+16x^3$$

• $$15x^4+16x^2$$

• $$15x^4-16x^3$$

Multiple Choice

F(x)=2e^x

Find F'(x)

• 2e^x

• x

• a^2x

• e