The derivative of a function of f at æ is given by provided the limit exists. f(x+h)-f(x) = Use the definition of the derivative to find the derivative of f(x) = 2x² + 8x + 6. Enter the fully simplified expression for f(z+h)-f(z). Do not factor. Make sure there is a space between variables. f(z)=E b a a b LO A₂ b a Pl sin (a) |a| k 8 R f'(x) = lim h→0 sin (a) f(a+h)-f(x) h B

Q: F(x) = f ∘ g ∘ h. Identify functions for f, g, and h.            F(x) = 1/4x6

A: It is given that  where Now, consider the functions as

Q: f(x) = 2ax - bx² + 2ax – b %3D

A: fx=2ax3-bx2+2ax-b Now, simplify the above function, fx=x22ax-b+2ax-b=2ax-bx2+1

Q: A function is defined by z = x2y - xy2. Identify the independent and dependent variables.

A: Given function is

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

A:

Q: f(x) = +x* – x' x² + 2x – 1 4 - - -

A: Given: fx=14x4-23x3-12x2+2x-1

Q: 5- -4 -5 -4 -2 -3 -5 -5 0 -5 -4 -3 -2 2. ent

A:

Q: Find f(a), f(a+h), and the difference quotient for the function given below.

A:

Q: Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

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Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

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Q: Draw the function of y = x 2 / 3 + x2

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Q: Determine whether the function has a concave up and/or concave down. f(x)=x/5+x^2

A: