Exercise
$\frac{d^2}{dx^2}\left(3x^4y^8+\cos\left(3xy^4\right)^3\right)$
Step-by-step Solution
Intermediate steps
1
Find the ($1$) derivative
$12y^8x^{3}-9y^4\cos\left(3xy^4\right)^{2}\sin\left(3xy^4\right)$
Intermediate steps
2
Find the ($2$) derivative
$36y^8x^{2}-9y^4\left(-6y^4\cos\left(3xy^4\right)\sin\left(3xy^4\right)^2+3y^4\cos\left(3xy^4\right)^{2}\cos\left(3xy^4\right)\right)$
Intermediate steps
$36y^8x^{2}-9y^4\left(-6y^4\cos\left(3xy^4\right)\sin\left(3xy^4\right)^2+3y^4\cos\left(3xy^4\right)^{3}\right)$
Final answer to the exercise
$36y^8x^{2}-9y^4\left(-6y^4\cos\left(3xy^4\right)\sin\left(3xy^4\right)^2+3y^4\cos\left(3xy^4\right)^{3}\right)$