Consider the following function h(x)=-3x^4-5x^4+30x^3+60x a) find the point on the graph oh h(x) with largest slope that is the point where the tangent line of h(x) has the largest slope at this point b) write the equation of the tangent line at the point found in part (a)

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A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: