What is the tangent of f(x)=x^3-12x+2 ?

The tangent of f(x)=x^3-12x+2 is y=(3a_{0}^2-12)x-2a_{0}^3+2

Popular >

tangent of f(x)=x^3-12x+2

tangent of

f (x) = x^{3} - 12 x + 2

y = (3 a_{0}^{2} - 12) x - 2 a_{0}^{3} + 2

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, a_{0}^{3} - 12 a_{0} + 2)

Find the slope of

f (x) = x^{3} - 12 x + 2 : \frac{df ( x )}{d x} = 3 x^{2} - 12

Compute the slope of

f (x) = x^{3} - 12 x + 2

x = a_{0} : m = 3 a_{0}^{2} - 12

Find the line with slope m=

3 a_{0}^{2} - 12

and passing through

(a_{0}, a_{0}^{3} - 12 a_{0} + 2) : y = (3 a_{0}^{2} - 12) x - 2 a_{0}^{3} + 2

y = (3 a_{0}^{2} - 12) x - 2 a_{0}^{3} + 2

\int_{- 1}^{2} (5 x^{2} + \frac{1}{3} x - \frac{1}{2}) d x

\int_{- \infty}^{\infty} 2 x d x

\int \frac{x}{( x - 3 ) ^{2} + 4 ^{2}} d x

\int_{0.1}^{0.2} (300 x) d x

\frac{d}{d s} (\frac{2}{s ^{3}})

What is the tangent of f(x)=x^3-12x+2 ?
The tangent of f(x)=x^3-12x+2 is y=(3a_{0}^2-12)x-2a_{0}^3+2