Question

Differentiate the following functions with respect to x:

x⁵ e^x + x⁶ log x

Answer 1

As we can observe that A is a product of two functions say u and v where,

u = x⁵ and v = e^x

∴ A = uv

As we know that to find the derivative of product of two function we apply product rule of differentiation.

By product rule, we have –

Now, we will find dB/dx first

As we can observe that A is a product of two functions say m and n where,

m = x⁶ and n = log x

∴ B = mn

As we know that to find the derivative of product of two function we apply product rule of differentiation.

By product rule, we have –