What is the tangent of f(x)=4x^4+3x-5,(1,2) ?

The tangent of f(x)=4x^4+3x-5,(1,2) is y=19x-17

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tangent of f(x)=4x^4+3x-5,(1,2)

tangent of

f (x) = 4 x^{4} + 3 x - 5, (1, 2)

y = 19 x - 17

Solution steps

Find the slope of

f (x) = 4 x^{4} + 3 x - 5 : \frac{df ( x )}{d x} = 16 x^{3} + 3

Compute the slope of

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

(1, 2) : m = 19

Find the line with slope m=

19

and passing through

(1, 2) : y = 19 x - 17

y = 19 x - 17

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What is the tangent of f(x)=4x^4+3x-5,(1,2) ?
The tangent of f(x)=4x^4+3x-5,(1,2) is y=19x-17