Differentiation Rules Examples

Derivative of more complicated functions

Find the derivatives of:

question to find the derivatives of sin(x) - 3x^4 and x^2 - 3sin(x)
first part of solution to find the derivative of sin(x) - 3x^4
second part of solution to find the derivative of sin(x) - 3x^4
solution to find the derivative of x^2 - 3sin(x)
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Product Rule and Quotient Rule

Find the derivatives of:

question to find the derivatives of x^3 - sin(x) and x^2 divided by sin(x)
first part of solution to find the derivative of x^3 - sin(x)
second part of solution to find the derivative of x^3 - sin(x)

first part of solution to find the derivative of x^2 divided by sin(x)
second part of solution to find the derivative of x^2 divided by sin(x)
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Derivative of Function with Sum Rule and Product Rule

first part of solution to find the derivative of x^3 plus x.sin(x)
second part of solution to find the derivative of x^3 plus x.sin(x)

Derivatives with Two parts to them

first part of solution to find the derivative of x^3 divided by sin(x)
second part of solution to find the derivative of x^3 divided by sin(x)

first part of solution to find the derivative of a^2 minus 6 divided by a.sin(a)
second part of solution to find the derivative of a^2 minus 6 divided by a.sin(a)

third part of solution to find the derivative of a^2 minus 6 divided by a.sin(a)

Product Rule - “Double” Product Rule

first part of solution to find the derivative of x multipled by cos(x) multipled by sin(x)
second part of solution to find the derivative of x multipled by cos(x) multipled by sin(x)
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