RD Chapter 30 Derivatives Ex 30.4 Solutions
Question - 1 : - Differentiate the following functions with respect to x:
Answer - 1 : -
Let us consider y = x3 sinx
We need to find dy/dx
We know that y is a product of two functions say u and v where,
u = x3 and v =sin x
∴ y= uv
Now let us apply product rule of differentiation.
By using product rule, we get
Question - 2 : - x3 ex
Answer - 2 : -
Let us consider y = x3 ex
We need to find dy/dx
We know that y is a product of two functions say u and v where,
u = x3 and v = ex
∴ y= uv
Now let us apply product rule of differentiation.
By using product rule, we get
Question - 3 : - x2 ex logx
Answer - 3 : -
Let us consider y = x2 ex log x
We need to find dy/dx
We know that y is a product of two functions say u and v where,
u = x2 and v = ex
∴ y= uv
Now let us apply product rule of differentiation.
By using product rule, we get
Question - 4 : - xn tan x
Answer - 4 : -
Let us consider y = xn tanx
We need to find dy/dx
We know that y is a product of two functions say u and v where,
u = xn and v =tan x
∴ y= uv
Now let us apply product rule of differentiation.
By using product rule, we get
Question - 5 : - xn loga x
Answer - 5 : -
Let us consider y = xn loga x
We need to find dy/dx
We know that y is a product of two functions say u and v where,
u = xn and v = loga x
∴ y= uv
Now let us apply product rule of differentiation.
By using product rule, we get
