What is the tangent of f(x)=3x^5-2x^4,\at x=4 ?

The tangent of f(x)=3x^5-2x^4,\at x=4 is y=3328x-10752

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tangent of f(x)=3x^5-2x^4,\at x=4

tangent of

f (x) = 3 x^{5} - 2 x^{4}, at x = 4

y = 3328 x - 10752

Solution steps

Find the tangent point:

(4, 2560)

Find the slope of

f (x) = 3 x^{5} - 2 x^{4} : \frac{df ( x )}{d x} = 15 x^{4} - 8 x^{3}

Compute the slope of

f (x) = 3 x^{5} - 2 x^{4}

x = 4 : m = 3328

Find the line with slope m=

3328

and passing through

(4, 2560) : y = 3328 x - 10752

y = 3328 x - 10752

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\frac{1}{4 x + 3}

\frac{\partial}{\partial x} (7 x - 3 y + 4)

What is the tangent of f(x)=3x^5-2x^4,\at x=4 ?
The tangent of f(x)=3x^5-2x^4,\at x=4 is y=3328x-10752