If f is a differentiable function, find the derivative y=f(và) ƒ (√x) + √ √ f(x) 1 ○ y = ƒ (√√x) + 2 √/ F(x) 31 = ƒ1 ( 21/2 ) + 2√/131(2) f1(√x) yl= + 2√√x f1(x) 2√ √ f(x) y=f(2) + = ƒ1 ( 21√/=) + 2√/18 (2)

Q: Show that the function is harmonic and analytic w=3Z² + 4iZ

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Q: (a) tive of f(r) = r at z = a. Find the value of a given that lim, 8+h)* – 64 represents the deriva-…

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Q: use the second derivative test to find the local exterma of the function f(x) =x3 -9x2-48x+72 on R

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: y = In(2x² + 11x – 9)

A: We have y=ln(2x2+11x-9) To Find its derivative we use  ddx(ln x)=1x

Q: Let f (x) = x3 – 5x + 2, Use Derivative Rules to find the following: a) Find the equation of the…

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Q: Let f be the function given by f(x)=√x² - 9x² Find f'(x).

A: Formula Given function

Q: Show your work to determine the derivative of f(x) = (-1/x2 + 1/2 x2)(√x - 3x4). Do not simplify…

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Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

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Q: Determine the equation of the line tagent to the function f(x)=x(5-x)4 at x=3

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Q: What is the equation of the tangent to the curve of the function: f(x) = 6x³ + 4x² +3x+2 when x = 1?

A: The given function is: f(x)= 6x3+4x2+3x+2At x=1, y=f(1)= 6+4+3+2= 15

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

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Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: Suppose that the slope of the line tangent to the graph of a function f at the point (x, f(x)) is…

A: Using integration.