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e^x sin(x) is a product of two functions: e^x and sin(x). This means we can use the product rule.
Let e^x = u and sin(x) = v
The differential of uv is u'v + v'u whe...

to find dy/dx, multiply each item by the power of the x, and then decrease the power of the x by 1.Step 1 : 2x^2 -15x (multiplying by power of x)Step 2 : 2x^1 -15x^0Therefore:dy/dx = 2x ...

Differentiating each term separately, and using implicit differentiation to differentiate the functions of y by differentiating with respect to y and multiplying by dy/dx, we can obtain 6ydy/dx + ln2<...