(1) If f(x) = = x², then f'(x)= (3) If h(x) (2) If g(x) = - 6x5, then g'(x) = = 1 = I then h'(x) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Calculating Derivatives

1. **If \( f(x) = x^9 \), then \( f'(x) = \)**
   - Determine the derivative of the polynomial function \( f(x) = x^9 \).

2. **If \( g(x) = -6x^5 \), then \( g'(x) = \)**
   - Find the derivative of the polynomial function \( g(x) = -6x^5 \).

3. **If \( h(x) = \frac{1}{x^4} \), then \( h'(x) = \)**
   - Calculate the derivative of the rational function \( h(x) = \frac{1}{x^4} \) by rewriting it as a power of \( x \).
Transcribed Image Text:### Calculating Derivatives 1. **If \( f(x) = x^9 \), then \( f'(x) = \)** - Determine the derivative of the polynomial function \( f(x) = x^9 \). 2. **If \( g(x) = -6x^5 \), then \( g'(x) = \)** - Find the derivative of the polynomial function \( g(x) = -6x^5 \). 3. **If \( h(x) = \frac{1}{x^4} \), then \( h'(x) = \)** - Calculate the derivative of the rational function \( h(x) = \frac{1}{x^4} \) by rewriting it as a power of \( x \).
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