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Popular >

tangent of x^3-3x+4

Solution

tangent of

x^{3} - 3 x + 4

Solution

y = (3 a_{0}^{2} - 3) x - 2 a_{0}^{3} + 4

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, a_{0}^{3} - 3 a_{0} + 4)

Find the slope of

y = x^{3} - 3 x + 4 : \frac{d y}{d x} = 3 x^{2} - 3

Compute the slope of

y = x^{3} - 3 x + 4

at

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

Find the line with slope m=

3 a_{0}^{2} - 3

and passing through

(a_{0}, a_{0}^{3} - 3 a_{0} + 4) : y = (3 a_{0}^{2} - 3) x - 2 a_{0}^{3} + 4

y = (3 a_{0}^{2} - 3) x - 2 a_{0}^{3} + 4

Popular Examples

integral of (x^3)/(x^2+1)

\int \frac{x ^{3}}{x ^{2} + 1} d x

(\partial)/(\partial x)(x^1y^2+y^4z^5)

\frac{\partial}{\partial x} (x^{1} y^{2} + y^{4} z^{5})

integral of sin^2(2x)cos^3(2x)

\int sin^{2} (2 x) cos^{3} (2 x) d x

integral of ln^4(x)

\int ln^{4} (x) d x

d/(dt)(sin(pi)t)

\frac{d}{d t} (sin (π) t)

Frequently Asked Questions (FAQ)

What is the tangent of x^3-3x+4 ?
The tangent of x^3-3x+4 is y=(3a_{0}^2-3)x-2a_{0}^3+4