Question

Question 5: Differentiate the function with respect to x. (x + 3)². (x + 4)³ . (x + 5)⁴

Class 12 - Math - Continuity and Differentiability

Answer 1

Refer to the attachment.
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Formulas used :-
• log xⁿ = nlogx
• d/dx(log x) = 1/x
•d/dx(xⁿ) = nxⁿ-¹

×××Logarithmic Differentiation×××

Answer 2

Answer:

The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).