Skip to Content

Limit Definition of Derivative and Tangent Lines

Home | Calculus 1 | Definition of the Derivative | Limit Definition of Derivative and Tangent Lines

Use the limit definition of the derivative to find all points on the graph of

f(x)=4x312x2+9xf(x) = 4x^3 - 12x^2 + 9x

where the tangent lines to the graph have slope zero.

Posted by Will Lynch a year ago

Related Problems

Find the derivative of the following function using the limit definition of derivative,

f(x)=8x+4f(x) = 8x + 4

Use the definition of derivatives to find the derivative of the following function,

f(x)=x1f(x) = \sqrt{x - 1}

Find the slope of the tangent line to

f(x)=xf(x) = \sqrt{x}

when x = 1

Find the slope of the tangent line to

f(x)=1xf(x) = \frac{1}{x}

when x = 4