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4 years ago

Can any of you help me with this

Mathematics

1 answer:

RUDIKE [14]4 years ago

6 0

If f(x)=2x^2+5√(x+2) then:

f(2)=2(2^2)+5√(2+2)

f(2)=2(4)+5√4

f(2)=8+5(2)

f(2)=8+10

f(2)=18

We assume the square root is positive unless otherwise indicated because this is a function and you can have only one y value for each x value to be a function.

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FromTheMoon [43]

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Step-by-step explanation:

Sorry I couldn't help you all the way through to the answer. Hope this helps though! :)

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3 years ago

Read 2 more answers

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

adoni [48]

Answer: The required derivative is $\dfrac{8x^2+18x+9}{x(2x+3)^2}$

Step-by-step explanation:

Since we have given that

$y=\ln[x(2x+3)^2]$

Differentiating log function w.r.t. x, we get that

$\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}$

Hence, the required derivative is $\dfrac{8x^2+18x+9}{x(2x+3)^2}$

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Step-by-step explanation:

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Step-by-step explanation:

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