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icang [17]
1 year ago
10

Find the derivative of f(x) = 7x + 4

Mathematics
2 answers:
rodikova [14]1 year ago
7 0
F(x) = 7x + 4
Answer: f’(x)=7

Steps:
1. Take the derivative of both sides

2. Use differentiation rule

3. Find the derivative

4. Removing doesn't change the value, so remove it from the expression

5. Solution f’(x)=7
lapo4ka [179]1 year ago
3 0

Answer:

 

7 d/dx[x^4]

Step-by-step explanation:

Since 7 is constant with respect to x, the derivative of 7x^4 with respect to x is 7 d/dc [x^4]

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Which exponential function goes through the points (1,8) and (4,64)?
vova2212 [387]
Plug in (4,64) into each answer choice.

A) 4(2)^x
64 =4(2)^4 
64 = 4(16) 
64 = 64

Answer choice A is correct.

B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512

Answer choice B is incorrect.

C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25

Answer choice C is incorrect.

D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125

Answer choice D is incorrect.


Your answer is B<span>) f(x)=2(4)^x</span>
4 0
2 years ago
Let $f(x) = x^2$ and $g(x) = \sqrt{x}$. Find the area bounded by $f(x)$ and $g(x).$
Anna [14]

Answer:

\large\boxed{1\dfrac{1}{3}\ u^2}

Step-by-step explanation:

Let's sketch graphs of functions f(x) and g(x) on one coordinate system (attachment).

Let's calculate the common points:

x^2=\sqrt{x}\qquad\text{square of both sides}\\\\(x^2)^2=\left(\sqrt{x}\right)^2\\\\x^4=x\qquad\text{subtract}\ x\ \text{from both sides}\\\\x^4-x=0\qquad\text{distribute}\\\\x(x^3-1)=0\iff x=0\ \vee\ x^3-1=0\\\\x^3-1=0\qquad\text{add 1 to both sides}\\\\x^3=1\to x=\sqrt[3]1\to x=1

The area to be calculated is the area in the interval [0, 1] bounded by the graph g(x) and the axis x minus the area bounded by the graph f(x) and the axis x.

We have integrals:

\int\limits_{0}^1(\sqrt{x})dx-\int\limits_{0}^1(x^2)dx=(*)\\\\\int(\sqrt{x})dx=\int\left(x^\frac{1}{2}\right)dx=\dfrac{2}{3}x^\frac{3}{2}=\dfrac{2x\sqrt{x}}{3}\\\\\int(x^2)dx=\dfrac{1}{3}x^3\\\\(*)=\left(\dfrac{2x\sqrt{x}}{2}\right]^1_0-\left(\dfrac{1}{3}x^3\right]^1_0=\dfrac{2(1)\sqrt{1}}{2}-\dfrac{2(0)\sqrt{0}}{2}-\left(\dfrac{1}{3}(1)^3-\dfrac{1}{3}(0)^3\right)\\\\=\dfrac{2(1)(1)}{2}-\dfrac{2(0)(0)}{2}-\dfrac{1}{3}(1)}+\dfrac{1}{3}(0)=2-0-\dfrac{1}{3}+0=1\dfrac{1}{3}

6 0
3 years ago
Courtney is twice as old as Andre and three years older than Natalie. Courtney is half Shari’s age. The difference between Shari
Alisiya [41]

i am sorry if i'm wrong but i believe the answer is Courtney's age

3 0
3 years ago
Read 2 more answers
The question is in the pic!
stich3 [128]

A. Isn't the answer because 9 can't go into 60

B. This is your answer 45 inches

C. and D. can't be the answer because 15 can't go into 50 or 36

15 * 3 = 45

9 * 5 = 45

I hope this helps you out, I had taken me a while to figure out what it was asking. ^-^

5 0
2 years ago
If this table is functional or non funtional
labwork [276]

Answer:

functional

Step-by-step explanation:

they all have equal input output ratio

plz mark brainliest

6 0
3 years ago
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