Question

Find an equation of the line tangent to the graph of $f(x) = \frac{1}{x^3}$. a) at $(1, 1)$; b) at $(-3, -\frac{1}{27})$; c) at $(2, \frac{1}{8})$

          Find an equation of the line tangent to the graph of $f(x) = \frac{1}{x^3}$.
a) at $(1, 1)$;
b) at $(-3, -\frac{1}{27})$;
c) at $(2, \frac{1}{8})$

Find an equation of the line tangent to the graph of f(x) = (1)/(x^3).
a) at (1, 1);
b) at (-3, -(1)/(27));
c) at (2, (1)/(8))

Added by Mark G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Steven Clarke

01/07/2023

Step 1

$$f'(x) = -\frac{3}{x^4}$$ Show more…

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.4- < Question 27, 1.5.60 Part 1 of 3 Find an equation of the line tangent to the graph of $$f(x) = \frac{1}{x^3}$$. a) at (1,1); b) at (-3,-1/27); > HW Score: 83.87%, 26 of 31 points Points: 0 of 1 c) at (2,1/8).