×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 30e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 30e

×

# Differentials Consider the following functions | Ch 4.5 - 30E ISBN: 9780321570567 2

## Solution for problem 30E Chapter 4.5

Calculus: Early Transcendentals | 1st Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Calculus: Early Transcendentals | 1st Edition

4 5 1 375 Reviews
11
5
Problem 30E

Consider the following functions and express the relationship between a small change in x and the corresponding change in y in the form $$d y=f^{\prime}(x) d x$$.

$$\sin ^{2} x$$

Step-by-Step Solution:
Step 1 of 3

Solution 30E STEP 1 Let f be the function differentiable on an interval containingx.The small change in x is denoted by the differential dx. The corresponding change in f is approximated by the differential dy = f x)dx STEP 2 Given the function f(x) = sin x Then f x) = 2sin x cos x = sin2x Therefore dy = f (x)dx dy = sin2x dx

Step 2 of 3

Step 3 of 3

## Discover and learn what students are asking

Calculus: Early Transcendental Functions : The Natural Logarithmic Function: Integration
?In Exercises 1-26, find the indefinite integral. $$\int \frac{10}{x} d x$$

Statistics: Informed Decisions Using Data : Applications of the Normal Distribution
?If X is a normal random variable with mean 40 and standard deviation 10 and P(X > 45) = 0.3085, then P(X < 35) = _______ .

Unlock Textbook Solution