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Korolek [52]
3 years ago
10

Differentiate the function. f(x) = ln(25 sin^2(x))

Mathematics
1 answer:
tigry1 [53]3 years ago
8 0
Use the chain rule.
Let u = 25sin²(x), such that dy/dx = dy/du · du/dx

\frac{dy}{dx} = \frac{1}{25sin^{2}(x)} \cdot 50cos(x) \cdot sin(x)
\frac{dy}{dx} = \frac{2cos(x) sin(x)}{sin^{2}(x)}

\frac{dy}{dx} = 2cot(x)
You might be interested in
teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa
jekas [21]

Answer:

Teresa tiene 1 chocolate.

Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:

1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.

Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:

2/3 - 1/4

recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:

(4/4)*(2/3) - (3/3)*(1/4)

(a cada fracción la multiplico y divido por el denominador de la otra)

8/12 - 3/12 = (8 - 3)/12 = 5/12

Es decir, Teresa finalmente tiene 5/12 del chocolate.

Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:

1 - 5/12 = 12/12 - 5/12 = 7/12

Ella repartió 7/12 de su chocolate.

4 0
3 years ago
baker has 3 1/2 bags of flour. each bag holds 5 1/3 pounds of flour . how many pounds of flour does the baker have in all.
vlada-n [284]
3.5 since its asking how many he has, he has 3.5 its not askint how many bags he needs or how much a bag holds
7 0
3 years ago
Read 2 more answers
What is 6(7-2p) =12p+42
mafiozo [28]

answer:

p = 0

step-by-step explanation:

6 (7-2p) = 12p + 42

42 - 12p = 12p + 42

     +12p   +12p

_______________

42 = 24p + 42

-42            -42

_____________

0 = 24p

_    ___

24    24

0 = p


<em>hope this helps! ❤ from peachimin (aka kayla)</em>


4 0
3 years ago
4(3x+5)= -4
NeX [460]

Answer/explanation

4(3x+5)=-4

You will distribute the four to every term in the parenthesis,

12x+20=-4

Then you will combine like terms

12x+20=-4

     -20  -20

12x=-24

Then you will divide 12 to isolate x

\frac{12x}{-24} =\frac{-24}{-24}

Obviously, -24 cancels out and you would get x=-2

4 0
4 years ago
Does anyone know this? Also, can you explain how you get the answer? cuz I have 10 other questions same as this.
Nezavi [6.7K]
The answer is 36

Multiply each side by 9

9 times for and 9 times n/9

The n/9 will cancel out so you are left with n= 9 times 4

This comes to 36
7 0
3 years ago
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