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In physics, the derivative of a position function gives velocity, and from velocity, acceleration, etc.

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1) It is the slope

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It's the tangent line of a curve

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Change in some variable with respect to another

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they are used to find the instantaneous slope of a line/the slope of the line tangent to a graph at a certain point.

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They are the slope of a graph at any point in time

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How to derive a function

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They find the slope/velocity

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They give the slope at any given point of a graph.

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rate of change of the tangent line at a point.

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Used for rate of change

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implicit differentiation

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Derivatives are the slope of the tangent line to a specific point by using the slope formula to find the slope as x approaches the point (limit)
There are easier shortcuts to find derivatives instead of limit definition, such as chain rule, product rule, constant rule, and exponential rule

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it's the slope of the tangent line of a curve

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More uses of a derivative and easy tricks to solve for them

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More real world applications

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How do you get a function back out of a derivative

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PHYSICS

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derivative of logarithmic and inverse functions, implicit differentiation

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How to find the normal line of a function at a point.

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Chain, product, quotient rule

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slope of the tangent line

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implicit differentiation, l'hopital's rule, derivative of inverse trig functions

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How will derivatives help me in real life?

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logarithmic differentiation

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linear approximation

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Why the rules work for a derivative and the inverse of a derivative

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literally what is linear approximation - I couldn't tell you 

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literally what is linear approximation - I couldn't tell you 

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Finding related rates of change

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Just for fun

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Applying a natural log to both sides of the equation to make it easier to find the derivative

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implicit differentiation, inverse trig, natural logs

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implicit differentiation, inverse trig, natural logs

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to find the instantaneous slope at a point

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how to do related rates and use multiple derivatives

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you can find areas and do physics problems lol

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Slope of velocity

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to find the instantaneous velocity and acceleration

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to find the instantaneous velocity and acceleration

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How to find an equation of the velocity

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rate of change of something in regards to something else 

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rate of change of something in regards to something else 