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Mekhanik [1.2K]
2 years ago
5

"Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not exist, enter DNE.) f (x) = c

os(πx/2)
Mathematics
1 answer:
Oliga [24]2 years ago
8 0
\bf f(x)=cos\left( \frac{\pi x}{2} \right)\implies \cfrac{df}{dx}=\stackrel{chain~rule}{-sin\left( \frac{\pi x}{2} \right)\cdot \frac{\pi }{2}}

now, what is the value of the derivative at any extrema on the original function?  well, by definition, if the original function has an extrema anywhere, the derivative will be the derivative of a horizontal tangent line to it, and by definition it'll be 0.
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Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
aleksklad [387]

The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is \sqrt[3]{}(x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

(x¹³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

x⁽¹³/₃⁾

As we have a fractional exponent, you must convert the exponent to root:

\sqrt[3]{}(x¹³)

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

8 0
1 year ago
What is the simplified expression for the expression below? 4(x + 8) + 5(x – 3)Which expression is equivalent to 6(x – 4)
Mashutka [201]

Answer:4x+32+5x-15

Step-by-step explanation: that’s the simplified equation, you would just have to distribute the 4 to its own equation and the 5 into its own equation.. but i think the second part of ur question is missing..

8 0
2 years ago
Select the correct answer. What is the y-intercept of f(x) = 3x+2?
pashok25 [27]

Answer:

The y-intercept is (0, 3)

<em>they typed the equation wrong so that's why it's (0, 3)</em>

3 0
2 years ago
Read 2 more answers
Evaluate 3xy with an exponent of 2 y, if x=2 and y=5
Bogdan [553]

Answer:

145

Step-by-step explanation:

x = 2 , y= 5

Putting the values of x and y in the expression

=3(2) (5)^2-5

=3(2)(25)-5

=150 -5

=145

8 0
3 years ago
Solve this:/ 2m - 5 - 5 = -3m + 15
ValentinkaMS [17]
2m-5-5= -3m +15
2m -10= -3m+15
2m+3m= 15+10
5m= 25
m= 25/5
m=5
5 0
3 years ago
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