Class 11 Physics (India): Worked example: Derivative of cos³(x) using the chain rule
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Class 11 Physics (India): Worked example: Derivative of cos³(x) using the chain rule
Description
f(x)=cos³(x) is a composition of the functions x³ and cos(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 importanc…
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f(x)=cos³(x) is a composition of the functions x³ and cos(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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