Calculus

posted by .

For the function f(x) = 1/x^2 find an expression for the slope of a tangent at the point where a = 1 using . Simplify the expression first before substitution.

• Calculus -

using the limits formula....

• Calculus -

point A
f(x) = 1/(x^2)

point B
f(x+deltaX) = 1/((x+deltaX)^2)

The slope of the line between these points is:

[f(x+deltaX) - f(x)]/[(x+deltaX - x]

The slope of the tangent is given when deltaX->0.

to get you started...

[(1/(x+deltaX)^2) - 1/x^2]/[x+deltaX - x]
Get rid of the fractions in the numerator and reduce the fraction as much as possible. Then take the limit as deltaX->0.

Respond to this Question

 First Name School Subject Your Answer

Similar Questions

1. Calculus

For the function ƒ(x) = x2 find the slope of secants from the point (2, 4) to each of the following points. (3, __ ) (2.5 , __ ) (2.1 , __ ) (2.01, __ ) (2.001, __ ) Using the pattern from question 1, what do you think the slope of …
2. calculus

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) f(x) = 2x^2 + 7x
3. calculus

1. Given the curve a. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for the line tangent to the curve at the point (2, 1) c. Find the coordinates of all other points on this curve …
4. Calculus

1. a) For the Function and point below , Find f’(a). b) Determine the equation of the line tangent to the graph of f at (a,f(a)) for the given value of f(x) = 4x2+2x, a =1 F’(a) = y = 2. For the function find f’ using the definition …
5. Calculus

1. a) For the Function and point below , Find f’(a). b) Determine the equation of the line tangent to the graph of f at (a,f(a)) for the given value of f(x) = 4x2+2x, a =1 F’(a) = y = 2. For the function find f’ using the definition …
6. CALCULUS

The expression dy/dx = x(cbrt(y)) gives the slope at any point on the graph of the function f(x) where f(2) = 8. B. Write an expression for f(x) in terms of x. I can't figure out what to do with that cubed root; it keeps throwing me …
7. calculus

To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (64, 8), we know that (64, 8) is a point on the line. So we just need …
8. calculus

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))?
9. calculus

8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x) - 5ex. 10. Find f '(x) for f (x) = e(^lnx) + e^(x)ln(x) 11. Find the x-coordinate where the graph of the function f(x) = e^(-cosx) has …
10. Calculus

The expression dy/dx = x*(cube root y) gives the slope at any point of the graph of the function f(x) where f(2) = 8. A. Write the equation of the tangent line to f(x) and any point (2,8). B. Write an expression for f(x) in terms of …

More Similar Questions