# Derivatives - Basic Differentiation - Product, Quotient, Chain Rule

## Free Calculus Worksheet - Derivatives - Basic Differentiation - Product, Quotient, Chain Rule

**Lesson:**

To use differentiation rules to find the derivative of a function.

**Subject:**

Calculus

**Description:**

In this 100% free calculus worksheet, students must use basic differentiation rules to find the derivatives of functions. Problems begin with students needing to apply the constant rule and power rule of derivatives. Other problems may require use of the constant multiple rule, product rule, quotient rule, or chain rule.

**# of Problems:** 17

**# of Pages:** 4

**Answer Key?:** Yes

### Sample Problems from Worksheet

(Worksheet pictures and diagrams not shown)

Tutor-USA Worksheet

Calculus – Differentiation – Find the Derivative

Find the derivative of the function.

1) *f(x)* = 7x - 5

2) *g(x)* = 1 - 2x - x^{2}

3)* f(x) *= x^{3} - 3x^{2} + 5x - 2

6)* v(r) *= 4/3πr^{3}

13) G(y) = (7 - 3y^{3})^{2}

16) D_{x} = (x^{2 }+ 2x + 1 / x^{2} - 2x + 1)