Bartleby Textbook Solutions

Math Q&A and Textbook Solutions

Calculus Q&A, Textbooks, and Solutions

Calculus Q&A Library

Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

dx
Evaluate
121 324x2
dx
121-324x2
(Use C as an arbitrary constant.)

For the pair of functions, find the derivative of the composite function f(t(x) in terms of one inpu...

Exercise 5: Sketch a graph with all of the following properties
dom(f) [5,5];
.f is discontinuous at...

Let f (x) = x1/3(8x + 12)2/3.   Find f ' (x) and the critical numbers for f.f ' (x) = (Ax+B)/3x^c(8x...

= -3 and g'(x) =
Suppose that we don't have a formula for g(x) but we know that g(1)
Vx2 8 for all x...

Find the solution of the exponential equation
121-x
_
= 2
in terms of natural logarithms, or correct...

Give the derivative formula for the function
g(x) 2.8x12
= (x), 6

Find and sketch the domain of the function (included in the image)

Determine whether the function has a concave up and/or concave down.
f(x)=x/5+x^2

HW
oct 23, 7og
Name: Cisselle Washington
Optimization problems
Date:
Period:
A man launches his boat...

A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is b...

Exercise 9: For the following, use the intermediate value theorem to prove that the given equations ...

A right triangle has side lengths 8, 15, and 17 as shown below.
Use these lengths to find tan B, sin...

Consider the function
f(x) = x2 + x
and the point
(1, 2).
(a) Find the slope of the tangent to the g...

A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially. T...

A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elev...

Consider the function f(x) = x3 + 4, and the point (1, 5).
Write the equation of the line tangent to...

A
Graphs A and B are approximate graphs of f and f for
f(x) x2
So f is increasing (and f is positive...

Graphs A and B are approximate graphs of f and f' for
f(x) x28x - 10
So f is decreasing (and f is ne...

Find the derivative of the function below

Can you help me with this problem step by step?

Find parametric equations for the tangent line to the curve with the given parametric equations at t...

A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium ...

Determine if the series below converges or diverges using either the Test of Divergence or Intergral...

Find the equation of the line tangent to the graph of f at the indicated value of x.
f(x)=3-2lnx; x=...

I need help with problem #33 in Section 3.9, page 250, of the James Stewart Calculus Eighth Edition ...

Can you help with this problem step by step?

Find the minimum and maximum values of the function y = (4t2) 1/s
critical points and endpoints.
on ...

Given that x and y are functions of time, find the indicated rate of change.
dy
when x 2 and
dt
dx
F...

An open-top crate is to be constructed with 54 ft2 of material available to use. The
length of its b...

Let f (x) = 8x3 − 24x2 − 720x.Find the relative maximum and minimum values of f. Also find all infle...

Given function, find the inverse function
Question
Find the inverse of the following function.
-8x2-...

Find dx/dt when y=2 and dy/dt=3,given that x^3=9y^3-64

How do you find an equation of a line given a pair of points? EX: (22,26), (4,8)

The function f has a continuous second derivative, and it satisfies f(7)=5, f′(7)=4 and f″(7)=−2.
We...

Find the tangent line and the normal line to the curve at the given point.
x2y2=100, (2,5)

If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance?
Round ...

While taking a walk along the road where you live, you accidentally drop your glove, but you don't k...

Differentiate the function F(t) = (ln t)2 sin t

Find an equation of the tangent line to the graph of y = e−x^2 at the point (4, 1/e16).

Slope of tangent line is equal to value of the first derivative of y at given point.&nbsp;

So the equation of the line is of the form<img src="https://prod-qna-question-images.s3.amazonaws.com/qna-images/answer/f26bd2c7-a69a-414f-95bc-e32ed97937d0/fcafd2a9-4273-4d80-ba1b-6a19871be4bb/9wxe7cs.png" />

Calculus

Math

Find an equation of the tangent line to the graph of 
<div>y = e−x^2 at the point (4, 1/e16).</div>

Find an equation of the tangent line to the graph of y = e−x^2 at the point (4, 1/e16).

Expert Answer

Want to see the step-by-step answer?

Want to see this answer and more?

Functions

Related Calculus Q&A