Consider the function f(x) = 25x 5x 2 . Find (a) The derivative of f(x) from
Question:
Consider the function f(x) = 25x – 5x2. Find
(a) The derivative of f(x) from first principles;
(b) The rate of change of f(x) at x = 1;
(c) The equation of the tangent to the graph of f(x) at the point (1, 20);
(d) The equation of the normal to the graph of f(x) at the point (1, 20).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
a b c d fx 25x 5x2 fx x 25x x 5x x 25...View the full answer
Answered By
Seema kuldeep
although I don't have an experience of teaching in a particular institute, previously I was an expert on Chegg and I have used to teach my batch mates and also my juniors.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
Consider the function f (x) = x2 + 4x 3. Find the average rate of change of the function from x1 to x2. (a) x1 = 1, x2 = 2 (b) x1 = 1, x2 = 1.5 (c) x1 = 1, x2 = 1.25 (d) x1 = 1, x2 = 1.125 (e) x1 =...
-
Question 7 Not yet answered Marked out of 10.00 PFlag question Bi An investment company wants to create a database system to manage its data. The company manage several projects. There are several...
-
Consider the function f (x) = 3(x + 1)2 - 4. a. Find f (5). b. Find f (n). c. Find f (x + 2). d. Use your calculator to graph y = f (x) and y = f (x + 2) on the same axes. How do the graphs compare?
-
The following are the Ledger Balance (in thousands) extracted from the books of Vaishnavi Bank Ltd as on March 31, 2016. The bank's Profit and Loss Account for the year ended and Balance Sheet as at...
-
The pressure in a traveling sound wave is given by the equation p = (1.50 Pa) sin [(0.900 m-1) x - (315 s-1)t]. Find the (a) Pressure amplitude, (b) Frequency, (c) Wavelength, and (d) Speed of the...
-
On August 31, 2010, the following data were accumulated to assist the accountant in preparing the adjusting entries for Cobalt Realty: (a) Fees accrued but unbilled at August 31 are $9,560. (b) The...
-
End bracket resonances are subject to changes in support stiffness. What could change the total equivalent support stiffness on a largehorsepower motor that is bolted to a steel sole plate imbedded...
-
Evaluate their advice for conducting post-project evaluations. MINI CASE Overall, in the light of this study, we would come out strongly in favor of post-project reviews (provided you do not call...
-
1. What is the slope of the Aggregate-Supply curve in the short run? In the long run? What shifts the AS curve(s)? 2. How does the interest-rate effect help explain the slope of the aggregate-demand...
-
A particle is thrown vertically upwards into the air. Its height s (in m) above the ground after time t (in seconds) is given by s = 25t 5t 2 (a) What height does the particle reach? (b)What is its...
-
Using the definition of a derivative given in (8.1), find f(x) when f(x) is (a) x 2 (b) 1/x (c) mx + c (m, c constants) df d.x f x-0 = f(x) = lim = lim f(x + 4x) = f(x) . (8.1)
-
If y = sin 5x is a solution of a homogeneous linear second-order differential with constant coefficients, then the general solution of the DE is _______. Answer problem without referring back to the...
-
What is the value of the acceleration \(g_{V_{\text {enus }}}\) due to gravity at the surface of Venus?
-
A thin disk of radius \(R\) has mass \(m_{\text {disk }}\) uniformly distributed over its area. (a) Derive an expression for the magnitude of the gravitational force this disk exerts on a particle of...
-
You equip a rocket with enough fuel to reach escape speed from Earth. If you plan to launch the rocket from just above ground level, does it matter whether you launch it vertically, at an angle, or...
-
Is there any position in the elliptical orbit of a satellite where the tangential component of the acceleration is greater than the component perpendicular to the tangential component? If so, what...
-
Imagine that you have been hired by a wealthy out-of-town investor to find him a residential income property investment with 5 to 10 units located within a 5-mile radius of the college or university...
-
What are some advantages of learner-controlled instruction? What is the big disadvantage?
-
Evaluate each logarithm to four decimal places. log 0.257
-
Determine the shear strain γ xy at corners A and B if the plate distorts as shown by the dashed lines. 5 mm, 2 mm 4 mm IB 2 mm 300 mm T2 mm -X- 400 mm 3 mm
-
Determine the shear strain γ xy at corners D and C if the plate distorts as shown by the dashed lines. 5 mm, 2 mm 4 mm IB 2 mm 300 mm T2 mm 400 mm- 3 mm
-
The pipe with two rigid caps attached to its ends is subjected to an axial force P. If the pipe is made from a material having a modulus of elasticity E and Poissons ratio v, determine the change in...
-
Blossom Manufacturing purchases $73,100 of raw materials on account, and it incurs $81,200 of direct labour costs. Supporting records show that (a) the assembly department used $63,300 of direct...
-
If the fixed manufacturing costs were $23,800 and the fixed selling and administrative expenses were $10,780, prepare an income statement according to the variable costing concept. Round all final...
-
Henry Inc. purchased $10,000 of Container Corporation's 5% bonds at par. The purchase was made on January 1, and the investment was classified as a trading security. On June 30, Henry Inc. received...
Pharmaceutical Stress Testing Predicting Drug Degradation 1st Edition - ISBN: 0824740211 - Free Book
Study smarter with the SolutionInn App