Calculus

Differentiability

Slope of a Curve

         

Sally drew the line y=2x+3 y=2x+3 on the board. What is the slope of this line?

What is the slope of the line tangent to the curve y=lnx+20x y = \ln x + 20x at x=17 x = \frac{1}{7} ?

What is the slope of the line tangent to the graph of the function f(x)=4x f(x) = - \frac{4}{x} at x=19 x = \frac{1}{9} ?

What is the slope of the line tangent to the graph of the function f(x)=6cosx+6sinx f(x) = 6 \cos x + 6 \sin x at x=20π x = 20 \pi ?

What is the slope of the tangent line of the curve f(x)=x2+2013 f(x) = x^2 + 2013 at x=29 x = 29 ?

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