Wednesday

July 23, 2014

July 23, 2014

Posted by **Rachael** on Sunday, June 9, 2013 at 1:12am.

F(5)=

The equation of the tangent line is y = x + .

Check your answer for yourself by graphing the curve and the tangent line.

- Calculus -
**Reiny**, Sunday, June 9, 2013 at 8:49amf(5) = 125 - 35 + 5 = 95

f(5+h) = (5+h)^3 - 7(5+h) + 5

= h^3 + 15h^2 +68h + 95 --- (I'll let you check that

derivative = Lim ( f(h+5) - f(5) )/h as h ---> 0

= lim ( h^3 + 15 h^2 + 68h = 95 - 95)/h

= lim h^2 + 15h + 68 , as h --> 0

= 68

so equation of tangent at (5,95)

y - 95 = 68(x-5)

y = 68x - 340 + 95

y = 68x - 245

**Related Questions**

Math - The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q ...

Calculus - Find the equation of the tangent line to the curve (piriform) y^2=x^3...

calculus 1 - If f(x) = 9x2 − x3, find f'(2) and use it to find an equation...

Calculus - Use implicit differentiation to find an equation of the tangent line ...

Calculus - Use implicit differentiation to find an equation of the tangent line ...

Calculus - Let f(x)=−4−3x+2x^2. Use the limit definition of the ...

Maths-Calculus - If f(2)=1 and f(2+h)=(h+1)3, compute f′(2). If f(−...

calculus - Write the equation of the tangent line to the curve at the indicated ...

calculus - please help! - Find the slope of the tangent line to the curve (3x+3y...

calculus - Use implicit differentiation to find an equation of the tangent line ...