How do you find the equation of the

Zane Decker

Zane Decker

Answered question

2022-04-13

How do you find the equation of the line tangent to y=x3+6x25x at (1,0)?

Answer & Explanation

Assorrymarf0cgr

Assorrymarf0cgr

Beginner2022-04-14Added 10 answers

To find the tangent we will use the equation
(yy1)=m(xx1),
where (x1,y1) is the point at which we are finding the tangent, and m is the gradient.
Since we know (x1,y1) we have to find the gradient of the tangent, this is done by differentiation.
y=x3+6x25x
dydx=3x2+12x5
m=[dydx]x=1=3×12+12×5
m=[dydx]x=1=3+125=4
eqn of tangent
(y-0)=4(x-1)
y=4x4

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