Chain Rule 1/8-1/9

​Chain Rule
Derivatives follow up

Recap

Chain Rule

Chain Rule

Another Example

Another Example

Multiple Choice

$$f\left(x\right)=\left(x^2+3\right)^4$$

• $$2x$$

• $$8x\left(x^2+3\right)^3$$

• $$4\left(x^2+3\right)$$

Integers and fractions can be exponents

Integers and fractions can be exponents

With a partner

With a partner
Next five questions are your DOL

Open Ended

Calculate the derivative

$$f\left(x\right)=2x^3+15x^2+x-1$$

Multiple Choice

Calculate the derivative

$$h\left(x\right)=\left(x^2+1\right)^2$$

• $$4x^3+4x$$

• $$4x^4+x^2$$

• $$4x^4+4$$

Open Ended

Calculate the derivative

$$g\left(x\right)=x^{\frac{1}{3}}-\frac{2}{x^2}$$

Open Ended

Calculate the derivative

$$p\left(x\right)=\left(x^{-2}\right)^{\frac{1}{2}}$$

Open Ended

Calculate the derivative

$$q\left(x\right)=\frac{1}{x}$$