What the value of the expression 4(a2-b2) when a= -5 and b=3

If f is a differentiable function, find an expression for the derivative of each of the following functions

almond37 [142]

12a. Answer: d) x⁶ f'(x) + 6x⁵ f(x)

Step-by-step explanation:

Use the multiplication formula for derivatives:

y = a · b → y' = a'b + ab'

y = x⁶ · f(x)

a = x⁶ b = f(x)

a' = 6x⁵ b' = f'(x)

y' = a'b + ab'

y' = 6x⁵ f(x) + x⁶ f'(x)

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12b. Answer: $\bold{b)\ y=\dfrac{xf'(x)-9f(x)}{x^{10}}'}$

Step-by-step explanation:

Use the division formula for derivatives:

$y=\dfrac{a}{b}$ → $y' = \dfrac{a'b - ab'}{b^2}$

$y=\dfrac{f(x)}{x^9}\\\\a=f(x)\qquad b=x^9\\\\a'=f(x)\qquad b'=9x^8\\\\y'=\dfrac{a'b-ab'}{b^2}\\\\y'=\dfrac{x^9f'(x)-9x^8f(x)}{(x^9)^2}\\\\.\ =\dfrac{x^9f'(x)-9x^8f(x)}{x^{18}}\\\\\text{factor out }x^{8}: y'=\dfrac{xf'(x)-9f(x)}{x^{10}}$

Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.

5 0

3 years ago

Edith works for x amount of hrs that pays $4 she also has accepted another job that pays $8 an hr working y amount of hrs she ca

igor_vitrenko [27]

Study the problem
Organize your facts
Line up the problem
Validate
Explain

<h2 />

<h2>step 1 :study the problem </h2>

write down your fact or what you know about the problem. also crossout unnecessary parts of the problem and highlight important information.

example: X = hours

<h2> </h2><h2>Step 2: organize your facts</h2>

organize your facts means put in order ,write what it means etc.

example: the problem say rebbeca has 3 3 times as much candy than Sara. what does the problem mean ?

<h2>Step 3 : line up your strategy. </h2><h3> what are your plans for solving this problem ? what operation will u do ? how much step is in this problem ? does this make sense ? in line up your strategy u have to think about why I'm doing this? how I will do this etc.</h3>

<h2>Step 4 : validate </h2>

<h3>"SOLVE THE PROBLEM"!</h3>

8 0

4 years ago

If 50% of all federal inmates are serving time for extortion and a random sample of 16 federal inmates is selected, then what is

Sever21 [200]

Hi I have the answer. The answer would be D. 8. If we take are trying to find half of something. Multiply every answer choice by 2. When you find the answer the answer would be the one you found with the right choice. In this case A and B ar incorrect because multiplying 2 digits would not be the answer. C is not the answer because 2 x 9 = 18. In conclusion 8 x 2 = 16. Please give brainliest I am trying to get a new rank before my birthday. Good luck !

3 0

2 years ago

Anyone know the answer?

erma4kov [3.2K]

A, the answer is A, something to do with opposite angles being the same, so A because 127 + 127 = 254

6 0

3 years ago

Read 2 more answers

Which exponential function models the data? Round

Nadusha1986 [10]

Answer:

f(x) = 401.19(1.08)x