Find dy dx of y equals the secant of the square root of x.

Answers

Answer 1

Answer:

$\bf y=sec(√(x))\implies y=sec\left( x^{(1)/(2)} \right)\implies \cfrac{dy}{dx}=\stackrel{\textit{chain rule}}{sec\left( x^{(1)/(2)} \right)tan\left( x^{(1)/(2)} \right)\cdot \cfrac{1}{2}x^{-(1)/(2)}} \n\n\n \cfrac{dy}{dx}=sec\left( x^{(1)/(2)} \right)tan\left( x^{(1)/(2)} \right)\cdot \cfrac{1}{2x^{(1)/(2)}}\implies \cfrac{dy}{dx}=\cfrac{sec\left( √(x) \right)tan\left( √(x) \right)}{2√(x)}$

Answer 2

Answer:

Final answer:

To find the derivative of y equals the secant of the square root of x, we can use the chain rule. The derivative is secant squared of the square root of x, multiplied by 1 over 2 times the square root of x.

Explanation:

To find dy dx of y equals the secant of the square root of x, we can use the chain rule. The derivative of secant is secant squared, and the derivative of the square root of x is 1 over 2 times the square root of x. So, using the chain rule, we have:

dy dx = sec^2(sqrt(x)) * (1/(2sqrt(x)))

Learn more about Derivatives here:

brainly.com/question/30365299

#SPJ3

Related Questions

What's the square root 20
Spring street middle school orders 9 calculators for every 12 students. How many calculators do you predict the school would order for 132 students?
The temperature dropped 2 degrees every hour for 6 hours what was the total number of degrees the temperature changes in he 6 hours
PLEASE HELP I GIVE THANKS
Write an explanation to a friend telling how to find a fraction that is equivalent to 3/5

Write an expression using the distributive property that can be used to find the quotient 56 divided by 4

Answers

50/4 + 6/4 that is how Dp can be used to solve this

3.38 feet to inches ?

Answers

3.38 feet is 40.56 in inches

the answer would be 40.56 inches

50+10(8*1)+2
What property do you use to solve this and how.

Answers

You need to use PEMDAS
So first you do the parenthesis.
8*1=8.
So now re-write the problem.
50+10*8+2
Now you are going to multiply.
10*=80
Now re-write the problem again.
10+80+2
10+80=90+2=92
So the answer to this problem is 92.

You should use PEMDAS
(parenthesis, exponents, multiply, divide, add, and subtract)
you can remember it by using
Please Excuse My Dear Aunt Sally

Please answer this question as soon as you can I need it for homework

Answers

What decimal number has 5 digits, and has something less than .806 thousandths?

38.086 on both dont cheat thought i am trying to help out

A factory produces 2354 hammers every hour. Which expression can be used to find how many hammers the factory produces in 3 hours

Answers

You should use multiplication:

2354 * 3 = 7062

An expression might be: 2354h / 3hrs. You can make the real division sign if you're using paper. Hope this helped :)

Demetrius is a salesman whose base pay plus commissions amounted to$51,162 last year. If his base pay was $26,610 and he made $79,200 in sales
last year, what was his rate of commission?