Question

Please help me solve and explain these two questions:

1. Find f'(x) for f(x) = ln(x^2 + e^(3x))

2. Find dy/dx by implicit differentiation for ysin(x) = xsin(y)

Answer 1

go by basics u will get it easier

Explanation:

assume X2 + e3x as some function t

now find derivative you get (1/t )dt/dx

now find dt /dx. simply derivative with respect to x

for second question use formula

dy/dx = - partial derivative of function with x / partial derivative of function with respect to y