Question

Clear All Draw: Simplify the difference quotient ( frac{f(x+h)-f(x)}{h} ). Find ( f^{prime}(x) ) by evaluating ( lim _{h ightarrow 0} frac{f(x+h)-f(x)}{h} ). Use ( f^{prime}(x) ) to find the slope of the tangent at ( x=-2 ). Compare the result to your sketch. Use ( f^{prime}(x) ) to find the slope of the tangent at ( x=0 ). Compare the result to your sketch. Use ( f^{prime}(x) ) to find the slope of the tangent at ( x=1 ). Compare the result to your sketch.

          Clear All Draw:
Simplify the difference quotient ( frac{f(x+h)-f(x)}{h} ).
Find ( f^{prime}(x) ) by evaluating ( lim _{h 
ightarrow 0} frac{f(x+h)-f(x)}{h} ).
Use ( f^{prime}(x) ) to find the slope of the tangent at ( x=-2 ). Compare the result to your sketch.
Use ( f^{prime}(x) ) to find the slope of the tangent at ( x=0 ). Compare the result to your sketch.
Use ( f^{prime}(x) ) to find the slope of the tangent at ( x=1 ). Compare the result to your sketch.

$Clear All Draw: Simplify the difference quotient ( fracf(x+h)-f(x)h ). Find ( f^prime(x) ) by evaluating ( lim h ightarrow 0 fracf(x+h)-f(x)h ). Use ( f^prime(x) ) to find the slope of the tangent at ( x=-2 ). Compare the result to your sketch. Use ( f^prime(x) ) to find the slope of the tangent at ( x=0 ). Compare the result to your sketch. Use ( f^prime(x) ) to find the slope of the tangent at ( x=1 ). Compare the result to your sketch.$

Added by Ahmad K.

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