Differentiate each of the following functions with respect to x :
Problem 1 :
y = 3x^{2} + 5x - 2
Solution :
y = 3x^{2} + 5x - 2
Problem 2 :
y = a^{x} + x^{a} - a^{a}
Here a is a constant.
Solution :
y = a^{x} + x^{a} - a^{a}
Problem 3 :
Solution :
Problem 4 :
y = e^{x} ⋅ ln x
Solution :
y = e^{x} ⋅ ln x
Using product rule, the above function can be differentiated with respect to x.
Problem 5 :
y = 2^{x} ⋅ x^{5}
Solution :
y = 2^{x} ⋅ x^{5}
Using product rule, the above function can be differentiated with respect to x.
Problem 6 :
Solution :
Using quotient rule, the above function can be differentiated with respect to x.
Problem 7 :
Solution :
Using quotient rule, the above function can be differentiated with respect to x.
Problem 8 :
y = 2^{x} ⋅ ln x
Solution :
y = 2^{x} ⋅ ln x
Using product rule, the above function can be differentiated with respect to x.
Problem 9 :
Solution :
Using quotient rule, the above function can be differentiated with respect to x.
Problem 10 :
Solution :
Using chain rule, the above function can be differentiated with respect to x.
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