Question: Given the function f(x)=1x-12,(a) Use the definition of the derivative as a limit to find f'(x).(b) Write equation of the tangent line to the curve

Given the function f(x)=1x-12,(a) Use the definition of the derivative as a limit to find f'(x).(b) Write equation of the tangent line to the curve y=f(x) at the point (2,1).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Consider the two weekly time series oil and gas. The oil series is in dollars per barrel, while the gas series is in cents per gallon; see Appendix R for details. (a) Plot the data on the same graph....

8. Given the function f (x) = (e*)(In x)(x), find f'(x) and simplify. (6pts) 9. Use logarithmic differentiation to find - dy if y = x * (8pts) dx 10. Find the equation of the tangent line to the...

Need solutions 1. If f(x) = sin (x), find f a. 0 C. b. 1 d. 2. If f(x) = Sin X find f * COS X a. 1 C. b. -2 d. 2 3. Find the slope of the tangent to the curve y = 2 sin'x at x = a. C. -1 b. 3 d. 4....

Q2 Help please Question 2 Given the function f (x) - x - 2 a) Show that f (x) = (x_z)a by using the definition of the derivative. b) At which point(s) does the tangent line to the curve y = f(x) have...

This assignment is out of 24 marks. To earn full marks for each question, a detailed algebraic solution and/or explanation is required. Review the "Directing Words" chart found in the course...

Explanation not necessary thank you 1. For the function f (x) = x2 - 2, find the following: a. The slope of the tangent line at x = 4 b. The equation of the tangent line at x = 4. 2. If s(t) = t3 -...

1/1 b. Sketch the graph of y = -3log2 -+ (x+ 2) )-5. (1 mark) 1. Convert each exponential equation to a logarithmic equation. The logarithmic equation for part b should not include the radical sign....

1. Given the parametric equations x =4t - +3, y =8 - 2t Compute the derivative dy/ da as a function of t . Answer:Find the equation for the line tangent to the parametric curve: 13 - 9t = 9t2 - 14 at...

M. Stick Management Calculus MATH.1220 Online Exam 1 due 10/15/2017 Show all analytic work for each problem. An answer without analytic backup is not acceptable. Compute the LCD and simplify results...

What is the third derivative of f (@) = cos (2x)? O A. 2 sin 2x O B. -4 cos 2x O C. 8 sin 2x O D. 8 cos 2x O E. -8 cos 2x 2 ? Which of the integrals is equal to lim + 4k n-+00 O A. Say x3dx O B....

Please I need help with these problems. Please show your work so I can understand them better. Given the function , f (x) = 3x2- 2r + 5 Use the limit definition (difference quotient) to find the...

Three-lens systems In figure stick figure O (the Object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed...

Farr Company reports net income of $90,000 in 2014. However, ending inventory was understated $5,000. What is the correct net income for 2014? What effect, if any, will this error have on total...

A patient has a fasting plasma glucose (FPG) performed at an outpatient laboratory. He has fasted as instructed. FPG: 135 mg/dL What does this result indicate, and what, if any, further action is...

Which of the following are possible threats to internal validity for a One-group posttest-only design? History Maturation Instrumentation Testing Regression to the mean Mortality/Attrition Selection