# How do you find the instantaneous rate of change of the function #f(x) = x^2 + 3x + 4# when #x=2#?

Do you still need to use the definition to accomplish this, or have you mastered differentiation formulas already?

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The instantaneous rate of change of the function (f(x) = x^2 + 3x + 4) at (x = 2) is 7.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin2t-cos2t,sin(2t-pi/4)) # at # t=(-pi)/3 #?
- What is the equation of the line tangent to #f(x)=(x-1)(2x+4)# at #x=0#?
- Use the definition of the derivative at a point to find an eq for the tangent line to y= x^3 at the point (1,1) . No points for any other methods help??
- What is the average value of the function #h(x) = cos^4 x sin x# on the interval #[0,pi]#?
- Can instantaneous rate of change be zero?

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