Class 11 Physics (India): Worked example: Derivative of ln(√x) using the chain rule

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Class 11 Physics (India): Worked example: Derivative of ln(√x) using the chain rule

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Beschrijving

f(x)=ln(√x) is a composition of the functions ln(x) and √x, and therefore we can differentiate it using the chain rule.

Class 11 Physics (India)

Let's learn, practice, and master topics of class 11 physics (NCERT) starting with kinematics and then moving to dynamics with Newton's laws of motion, work, energy, and power. Let's then use these as the foundation to learn about centre of mass, rotational motion, gravitation, solids, fluids, thermodynamics, and oscillations and waves.

Chain rule

The chain rule says that the derivative of the composite function f(g(x)) is f'(g(x))⋅g'(x). This helps us find the derivative of a composite function. It may be slightly hard to grasp, but its importance …

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f(x)=ln(√x) is a composition of the functions ln(x) and √x, and therefore we can differentiate it using the chain rule.

Class 11 Physics (India)

Let's learn, practice, and master topics of class 11 physics (NCERT) starting with kinematics and then moving to dynamics with Newton's laws of motion, work, energy, and power. Let's then use these as the foundation to learn about centre of mass, rotational motion, gravitation, solids, fluids, thermodynamics, and oscillations and waves.

Chain rule

The chain rule says that the derivative of the composite function f(g(x)) is f'(g(x))⋅g'(x). This helps us find the derivative of a composite function. It may be slightly hard to grasp, but its importance cannot be overstated!

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