Question

find dy/dx y=x^3(5+3x)
​

Answer 1

Answer:

y

=

x

2

−

3

x

Differentiate both sides of the equation.

d

d

x

(

y

)

=

d

d

x

(

x

2

−

3

x

)

The derivative of  

y

with respect to  

x

is  

y

'

.

y

'

Step-by-step explanation:

Answer 2

Answer:

y = x³(5 + 3x)

y = 5x³ + 3x⁴

dy/dx = d(5x³)/dx + d(3x⁴)/dx

=> 5*3x² + 3*4x³

=> 15x² + 12x³