   Chapter 11.3, Problem 4E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 1-6, find d y / d x at the given point without first solving for y. e y = x  at (1,0)

To determine

To calculate: The value of dydx for the provided equation ey=x at (1,0).

Explanation

Given Information:

The provided equation is, ey=x and, the provided point is (1,0).

Formula used:

When y is an implied function of x, find dydx by differentiating both sides of the equation with respect to x and then algebraically solve for dydx.

According to the chain rule, if f and g are differentiable functions with y=f(u) and u=g(x), then y is a differentiable function of x and,

dydx=dydududx

Calculation:

Consider the provided equation,

ey=x

First, take the derivative of both sides of the equation with respect to x as,

ddx(<

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