Homework Help: calculus

Posted by Anonymous on Saturday, February 13, 2010 at 12:22pm.

determine the slope of the tangent for the following function. Then determine the equation of the tangent line at x=1

F(x) = x
F(x) = x^4

calculus - Anonymous, Saturday, February 13, 2010 at 1:07pm
For F(x) = x, the first derivative - which is the slope of the line tangent to a curve - would be:
F'(x) = 1

For the second part, it doesn't matter what value x is, F'(x) is always 1.

For F(x) = x^4, the first derivative - which is the slope of the line tangent to a curve - would be:
F'(x) = 3x^3

For the second part, you just plug in 1 for x:
F'(x) = 3(1)^3 = 3
calculus - Anonymous, Saturday, February 13, 2010 at 3:45pm
HOLD ON!!! MY BAD!

The second function's derivative is wrong. Brain fart on my part.

For F(x) = x^4, the first derivative - which is the slope of the line tangent to a curve - would be:
F'(x) = 4x^3

For the second part of the question, you just plug in 1 for x:
F'(x) = 4(1)^3 = 4

Answer this Question

Related Questions

calculus - Determine the slope of the tangent m, for each of the following ...
calculus - Determine the slope of the tangent m, for each of the following ...
Calculus - consider the function y = 2sinx a) determine dy/dx b) calculate the ...
Calculus - Find the slope m of the tangent line to the graph of the function at ...
Calculus PLEASE HELP - Find the slope m of the tangent line to the graph of the ...
cal - Determine the slope of the tangent m, for each of the following functions...
Calculus - 1. a) For the Function and point below , Find f’(a). b) ...
Calculus - 1. a) For the Function and point below , Find f’(a). b) ...
Math - Find the slope m of the tangent line to the graph of the function at the ...
Calculus grade 12 exam review PLEASE HELP ASAP !! - PLEASE HELP ME! Exam is in ...

For Further Reading

First Name:
School Subject:
Answer: