1-2x a. Find the derivative of f(x)= 3+x using the definition of the derivative. Then find the equation of tangent line at the point where x=0. What does it mean when the slope of the tangent line becomes 0?

Q: Find the derivative of the function. y=(12x²-24x+24) e 3x Find the rule that should be used first in…

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Q: Find the derivative. Simplify where possible. y = sech - 1 ( e -x )

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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: Calculate the first derivative of the function. Use the correct notation to label your answer. S(2)…

A: f(x)=x+x+xdifferentiate w.r.t xf'(x)=12x+x+x×(1+12x+x×(1+12x))

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Q: Fill in the chart below to find the derivative for f(x) = x3/3. Show your work. Do at least one…

A: The given function is

Q: Find the derivative of the function. f(x) =  1 x5

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Q: How do you find the derivative of this? Do not simplify the answer.

A: Let's first reduce our functiony=x3x3​+x​​=>y=xx+x​​=>y=xx​+xx​​=>y=1+x​1​=>y=1+x−21​Now…

Q: Find the derivative of the equation. Show complete solution

A: The derivative of a function defines the rate of change of function with respect to one of its…

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: y = x² - ²₁ (-2,5)

A: Derivative by defination rules

Q: If 2x² + y² = 19 then evaluate when z = when = 3 and y = 1. (Answer accurate to two decimal places.)

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Q: Find the derivative of the function. Y- (2x)4

A: The given function is