Question

find the derivative???​

Answer 1

Question :----

• Find the Derivative of log(x) * sin(x)

Solution :----

By Product rule of Derivative , we know that,

d/dx[(f(x) * g(x) ] = f(x)d/dx(gx) + g(x)d/dx(fx)

Here ,

f(x) = log(x)

g(x) = sin(x)

Putting values we get,,,,

→ log(x)*d/dx(sinx) + sinx * d/dx(logx)

[ Now we know that, derivative of sinx with respect to x is cosx and derivate of logx with respect to x is 1/x to 10]

so, we get,

→ log(x) * cos(x) + sin(x)*1/(x to 10)

or , we can say that,

→ cos(x)log(x) + sin(x)/(x to 10)