The equation of the tangent to the curve x^5/2+y^5/2=33 at the point (1,4) is : Option 1: x+8 y-33=0 Option 2: 12 x+y-8=0 Option 3: x+8 y-12=0 Option 4: x+12 y-8=0

The answer is 'x+8 y-33=0'. View full solution:

Calculus > Continuity & Differentiability

Medium

applied

The equation of the tangent to the curve $\mathrm{x}^{\frac{5}{2}}+\mathrm{y}^{\frac{5}{2}}=33$ at the point $(1,4)$ is :

$x+8 y-33=0$

$12 x+y-8=0$

$x+8 y-12=0$

$x+12 y-8=0$

✅ Correct Option: 1

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