Question

Differentiate the function with respect to x.

Answer 1

`16x {}^(3) + 1`

Explanation:

We need to differentiate the following function,

`\longrightarrow f(x) = 4x^4 + x`

Let ,

`\longrightarrow y = f(x)`

So that ,

`\longrightarrow y = 4x^4+x`

Differentiating both sides wrt x ,

`\longrightarrow (dy)/(dx)= (d(4x^4+x))/(dx)\\`

`\longrightarrow(dy)/(dx)= (d(4x^4))/(dx)+(dx)/(dx)\\`

`\longrightarrow (dy)/(dx) = 4(4)x^(4-1) + 1 \\`

`\longrightarrow \underline{\underline{ (dy)/(dx)= 16x^3 +1}}`