For the given function, (a) find the slope of the

Francisca Rodden 2021-12-13 Answered
For the given function, (a) find the slope of the tangent line to the graph at the given point; (b) find the equation of the tangent line.
h(x)=7xatx=6
(a) The slope of the tangent line at x=6 is ____.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

movingsupplyw1
Answered 2021-12-14 Author has 30 answers

Step 1
The function is given b y
h(x)=7xatx=6 To evaluate:
(a) The slope of the tangent line to the graph of the function at x=6
(b) The equation of the tangent line to the graph of the function at x=6
(a) Evaluation of the slope The slope of the tangent line to the graph of the function can be evaluat6ed as following
m=dhdxx=6
=ddx(7x)x=6
=7x2x=6
=762
=736
Hence, the slope of the tangent line at x=6is736

We have step-by-step solutions for your answer!

Ella Williams
Answered 2021-12-15 Author has 28 answers

(b) Evaluation of the equation of the tangent line
The equation of the tangent line can be evaluated as following
yh(6)=m(x6)
y76=736(x6)
y76=73x+76
y=736x+76+76
y=736x+73
Hence, the equation of the tangent line at x=6 is
y=736x+73

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions