SOLUTION: Determine the slope of the tangent to the curve next to the point where x = 4
f(x) = 4x^3 - 5x + 2sqrt(x)
Thank you
Algebra.Com
Question 555917: Determine the slope of the tangent to the curve next to the point where x = 4
f(x) = 4x^3 - 5x + 2sqrt(x)
Thank you
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Re-write the function using rational exponents:
\ =\ 4x^3\ -\ 5x\ +\ 2x^{\small{\frac{1}{2}}})
Take the derivative of the function using the sum rule:
\ =\ \frac{du}{dx}\ +\ \frac{dv}{dx})
And the power rule
\ =\ nax^{n\,-\,1})
So
\ =\ 12x^2\ -\ 5\ +\ x^{\small{-\frac{1}{2}}}\ =\ 12x^2\ -\ 5\ +\ \frac{1}{\sqrt{x}})
Now simply evaluate
)
John
My calculator said it, I believe it, that settles it
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