Question

The curve y=x^(3) has a tangent that passes the point (x,y)=(0,16). Find the tangent point, that is, the point with coordinates (x,y)=(x,x^(3)) on the curve where the slopes of the curve and of the tangent are the same

Name: the curve yx3 has a tangent that passes the point xy016 find the tangent point that is the point with coordinates xyxx3 on the curve where the slopes of the curve and of the tangent are the 34367
Uploaded: 2024-06-07T09:17:21-08:00
Duration: 1 min 48 s
Channel: Adi S
Description: the curve yx3 has a tangent that passes the point xy016 find the tangent point that is the point with coordinates xyxx3 on the curve where the slopes of the curve and of the tangent are the 34367

          The curve y=x^(3) has a tangent that passes the point (x,y)=(0,16). Find the tangent point, that is, the point with coordinates (x,y)=(x,x^(3)) on the curve where the slopes of the curve and of the tangent are the same

Added by Sandra C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

06/07/2024

Step 1

The curve is \( y = x^3 \). The derivative (slope of the tangent) is \( \frac{dy}{dx} = 3x^2 \). Show more…

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The curve y=x^(3) has a tangent that passes the point (x,y)=(0,16). Find the tangent point, that is, the point with coordinates (x,y)=(x,x^(3)) on the curve where the slopes of the curve and of the tangent are the same