Establish a result for the first derivative with respect to x for the following functions. a. ay

Question:

Establish a result for the first derivative with respect to x for the following functions.

a. ay = sin^-1 bx

b. ay = tan^-1 bx

c. ay = sinh^-1bx

d. ay = cosh^-1bx

e. ay = tanh^-1 bx

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

See More Books

Question Posted: Oct 08, 2021 02:38 AM

See More Questions

The best quadratic predictor of with respect to X is a + bX + cX 2 , where a, b, and c are chosen to minimize E[(Y - (a + bX + cX 2 )) 2 ]. Determine a, b, and c.
Find the partial derivative of Y with respect to X in each of the following cases: a. Y = 10 + 3Z + 2X b. Y = 18Z2 + 4X3 c. Y = Z0.2X0.8 d. Y = 3Z/(4 + X)
differentiate the following with respect to X ? 1.3 3x y + 2x 5y = 9
Repeat the instructions of Exercise 1 for Graph the function Then discuss, in detail, limits, one-sided limits, continuity, and one-sided continuity of at x = -1, 0, and 1. Are any of the...
Zappe Airlines is considering two alternative planes. Plane A has an expected life of 5 years, will cost $100 million, and will produce after-tax cash flows of $30 million per year. Plane B has a...
Fair-to-Midland Manufacturing, Inc., (FMM) has applied for a loan at True Credit Bank. Jon Fulkerson, the credit analyst at the bank, has gathered the following information from the companys...
Koala Ltd is an Australian company that receives management consulting services from Spin Incorporated. On 15 June 2023, Koala Ltd received an invoice from Spin Incorporated amounting to US$$4$...
Dharma Supply has earnings before interest and taxes (EBIT) of $500,000, interest expenses of $300,000, and faces a corporate tax rate of 35 percent. a. What is Dharma Supplys net income? b. What...
(a) (b) (c) Small business owners are discovering that social media marketing is quickly becoming an important method for driving business growth. While the idea of using "free tools" to drive...
Financial information for American Eagle is presented in Appendix A at the end of the book. Required: 1. What does the Report of Independent Registered Public Accounting Firm indicate about American...
An implicit curve is defined as sin 2xcos 2y = 3/4. It is known that the curve passes through the point P(/3, /6). Find, at the point P: a. dy/dx b. d 2 y/dx 2
A curve, C, is defined as being x = 3 tanh -1 t, y = sin 2t, where 1 t 1. a. Find the values of r where the gradient is zero. b. Find the second derivative with respect to x when t = 0.
With the previous problem in mind, supposed they dropped a heavy, smooth rock instead. Neglecting friction, what speed would it attain? Previous problem People working for National Geographic dropped...
20X8, The Bryant Company reported net earnings of $1.3 billion and cash flow from operations of $5.6 billion. In 20X7, its net earnings was $1.9 billion and cash flow from operations was $5.1...
hen firms kept leases off their balance sheets it tended to a. make the firms appear riskier than they actually were because their stated debt ratios were increased. b. have no effect on either cash...
1. Driving Distance: The distance traveled by a matchbox car released down a ramp is given by the values in the table. t (seconds) d (cm) 0.3 2.5 0.6 8.1 0.9 21.0 1.2 32.7 1.5 44.2 a) (4 points) Use...
How do demographic stochasticity, environmental variation, and dispersal dynamics interact to shape the spatial and temporal dynamics of populations within heterogeneous landscapes?
Why was Anne Carters clitoris enlarged at birth? Did she have partial or complete deficiency of 21-hydroxylase? What hormone replacement therapy did she receive?
Why do roads leading to the top of a mountain wind back and forth? Think of the road as an inclined plane?
Havel says the grocer doesnt believe what is on the sign and indeed, he says the grocers customers will barely notice it. But Havel maintains that the sign serves a specific function. How would you...
A PT phase diagram for potassium is shown below. a. Which phase has the higher density, the fcc or the bcc phase? Explain your answer. b. Indicate the range of P and T in the phase diagram for which...
A cell is roughly spherical with a radius of 20.0 10 6 m. Calculate the work required to expand the cell surface if the radius increases by a factor of three. Assume the cell is surrounded by pure...
It has been suggested that the surface melting of ice plays a role in enabling speed skaters to achieve peak performance. Carry out the following calculation to test this hypothesis. At 1 atm...
what interconnectedness and complexity mean as they relate to urban planning?
A financial relationship includes both ownership and investment interests, along with compensation arrangements that include contractual arrangements between a ____________________ and...
How does urban planning improves the quality of life? 2. Discuss the difference between regional planning and urban planning. 3. Give 10 examples of Construction Safety. 4. Explain the factors that...

Establish a result for the first derivative with respect to x for the following functions. a. ay

Question:

Step by Step Answer:

a For the function ay sin1 bx the first derivative with respect to x can be found by us...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

Students also viewed these Sciences questions