The curve has equation .

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

The curve

C

has equation

e^{2y}=x^3+y

. (1) Show that

\frac{dy}{dx}=\frac{3x^2}{2e^{2y}-1}

. (2) The tangent to

C

at the point

P

is parallel to the

y

-axis. Find the

x

-coordinate of

P

.

Related theory

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