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If y=cx^n , where c is constant then dy /dx =? Show how but its ans is cd(x^n)/dx how?
Most Upvoted Answer
If y=cx^n , where c is constant then dy /dx =? Show how but its ans is...
Explanation:
Given:
y = cx^n
To find:
dy/dx
Steps to find dy/dx:
- Take the derivative of y with respect to x:
dy/dx = d(cx^n)/dx
- Apply the power rule of differentiation:
dy/dx = cnx^(n-1)
- Substitute the value of c back into the equation:
dy/dx = cd(x^n)/dx
Explanation:
When finding the derivative of y = cx^n with respect to x, we use the power rule of differentiation which states that if y = ax^n, then dy/dx = anx^(n-1). By applying this rule, we find that the derivative of y = cx^n with respect to x is dy/dx = cnx^(n-1). Finally, by substituting the value of c back into the equation, we get dy/dx = cd(x^n)/dx. This is the final expression for the derivative of y = cx^n with respect to x.
Given:
y = cx^n
To find:
dy/dx
Steps to find dy/dx:
- Take the derivative of y with respect to x:
dy/dx = d(cx^n)/dx
- Apply the power rule of differentiation:
dy/dx = cnx^(n-1)
- Substitute the value of c back into the equation:
dy/dx = cd(x^n)/dx
Explanation:
When finding the derivative of y = cx^n with respect to x, we use the power rule of differentiation which states that if y = ax^n, then dy/dx = anx^(n-1). By applying this rule, we find that the derivative of y = cx^n with respect to x is dy/dx = cnx^(n-1). Finally, by substituting the value of c back into the equation, we get dy/dx = cd(x^n)/dx. This is the final expression for the derivative of y = cx^n with respect to x.
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If y=cx^n , where c is constant then dy /dx =? Show how but its ans is cd(x^n)/dx how?
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If y=cx^n , where c is constant then dy /dx =? Show how but its ans is cd(x^n)/dx how? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If y=cx^n , where c is constant then dy /dx =? Show how but its ans is cd(x^n)/dx how? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If y=cx^n , where c is constant then dy /dx =? Show how but its ans is cd(x^n)/dx how?.
If y=cx^n , where c is constant then dy /dx =? Show how but its ans is cd(x^n)/dx how? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If y=cx^n , where c is constant then dy /dx =? Show how but its ans is cd(x^n)/dx how? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If y=cx^n , where c is constant then dy /dx =? Show how but its ans is cd(x^n)/dx how?.
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