What is the equation of the line tangent to #f(x)=-x^2 -8x - 1 # at #x=-1#?
y = - 6x
To determine the equation of the tangent , y - b = m(x - a ) , require to find m , and (a,b ) a point on the line.
differentiating f(x) and evaluating for x = -1 will give m and evaluating f(-1) will give (a,b)
f'(x) = - 2x -8
hence f'(-1) = - 2(-1) - 8 = - 6 = m of tangent.
hence ( a , b ) = (-1 , 6 )
equation of tangent : y - 6 = -6(x + 1 )
and : y - 6 = - 6x - 6 → y = - 6x
By signing up, you agree to our Terms of Service and Privacy Policy
The equation of the line tangent to f(x)=-x^2 -8x - 1 at x=-1 is y = -9x - 10.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do you find the derivative of #sqrt( x+1 )# using limits?
- For #f(x) =sqrt(x^2-4)/(x-2)#, what is the equation of the line tangent to #x =2#?
- How do you find f'(x) using the limit definition given # f(x) = x/(x+4)#?
- What is the equation of the normal line of #f(x)= e^(x^2-x+3)# at #x = 2#?
- What is the equation of the tangent line of #f(x) =sqrt(tanx-sinx)# at # x = pi/4#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7