Basic Examples (2)
Basic Examples
(2)
Compute the slope-intercept equation of the tangent line to a curve at a given point:
In[15]:=
Out[15]=
y-1+4x
Visualize this result:
In[2]:=
Out[2]=
Compute the slope of this tangent line:
In[3]:=
Out[3]=
4
Compute the horizontal intercept of this tangent line:
In[4]:=
Out[4]=
1
4
Get the standard-form equation of this tangent line:
In[5]:=
Out[5]=
-4x+y-1
———
Get an association of properties of a tangent line to a curve:
In[1]:=
Out[1]=
SlopeInterceptEquationy-20Cos[20]+10xCos[20]+Sin[20],PointSlopeEquationy-Sin[20]10(-2+x)Cos[20],StandardFormEquationy-10xCos[20]-20Cos[20]+Sin[20],Slope10Cos[20],VerticalIntercept-20Cos[20]+Sin[20],HorizontalInterceptSec[20](20Cos[20]-Sin[20]),Plot
1
10
Get just the point-slope equation of this tangent line:
In[2]:=
Out[2]=
y-Sin[20]10(-2+x)Cos[20]
Scope (1)
Scope
(1)
Properties and Relations (2)
Properties and Relations
(2)
Possible Issues (2)
Possible Issues
(2)