Question

     Find an equation of the tangent line y = 7e^1-x^2 with the point (1,7)?  

 

 

 

 

 

Answer 1

The curve

Differentiating  on each side with respect of x .

Substitute the values (x , y ) = (1,7) in above equation.

This is the slope of tangent line to the curve at (1, 7).

To find the tangent line equation, substitute the values of and (x, y ) = (1, 7).  in the slope intercept form of an equation.

Substitute and b = 21 in y = mx + b.

Tangent line equation is .