Question

If d/dx f(x)= 3x2 then f(x)=​

Answer 1

Answer:

Solution:

ddx(f(2x4))=7x5  

f′(2x4)=7x5  

f′(2x4)=7x4⋅x  

f′(2x4)=72(2x4)⋅(2x4)1/421/4  

f′(x)=72(x)⋅(x)1/421/4  

f′(x)=72x⋅x2−−√4  

Hence,  f′(x)=72x⋅x2−−√4  when  ddx(f(2x4))=7x5 .

Answer 2

Answer:

f(x) = x³ + C

Step-by-step explanation:

given $\frac{d}{dx} (f(x))$ = 3x²

so, f(x) = $\int{3x^2} \, dx$

           = $3\int{x^2} \, dx$

           = $3* \frac{x^{2+1}}{(2+1)}$ + C

           = $3* \frac{x^{3}}{3}$ + C

           = x³ + C