A curve has equation $$y=kx^n+c,$$ where $k0$, $c$ is constant, and $n\ge2$ is an int

Question

A curve has equation $$y=kx^n+c,$$ where $k>0$, $c$ is constant, and $n\ge2$ is an integer. The gradient is $6$ at $x=1$ and $24$ at $x=2$. The curve passes through $(1,5)$. Find $n$, $k$, and $c$.

Accepted Answer

$n=3,\ k=2,\ c=3$.

Differentiation

Differentiation

Solution:

Solution locked