Question

please find the derivative of this please with steps​

Answer 1

Answer:

Let, y = (x sin x + cos x)( ex + x2 log x)

We have to find dy/dx

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

u = x sin x + cos x and v = (ex + x2 log x)

∴ y = 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 –

$\frac{dy}{dx} = u \frac{dv}{dx} + v \frac{du}{dx}$

…equation 1

As, u = x sin x + cos x

$\frac{du}{dx} = \frac{d}{dx} (x \: sin \: x + cos \: x)$

Hence,

$\frac{dy}{dx} = (xsin \: x + cos \: x)(x + 2x \: log \: x + \: ex) + (ex \: + {x}^{2} log \: x)( x \: cos \: x)$

Answer 2

Answer:

Soil minerals form the basis of soil. They are produced from rocks (parent material) through the processes of weathering and natural erosion. Water, wind, temperature change, gravity, chemical interaction, living organisms and pressure differences all help break down parent material.

Step-by-step explanation:

Hope it helps you!!!