- #1
Ry122
- 565
- 2
How do I get the derivative of
y=tan4x
The answer in the back of the textbook
says (4/cos^2(4X))
y=tan4x
The answer in the back of the textbook
says (4/cos^2(4X))
i thought you would know [itex] \ sec^2x=\frac{1}{cos^2x} [/itex] :uhh:Ry122 said:We haven't learned the other ratios yet.
The answer i need to get is in this form
(4/cos^2(4X))
I've finally figured out how to do this i just don't understand how
(4cos4x^2) + (4sin4x^2) / (4cos4x^2) = (4/cos^2(4X))
What happens to the cos and sin squared in the numerator?
A trigonometric derivative is a mathematical concept that involves finding the derivative of trigonometric functions such as sine, cosine, and tangent. This is done by using the rules of differentiation.
Trigonometric derivatives are important because they allow us to find the rate of change of trigonometric functions, which has many applications in physics, engineering, and other fields. They also help us to solve problems involving motion, vibrations, and waves.
To find the derivative of a trigonometric function, you can use the basic rules of differentiation such as the power rule, chain rule, and product rule. You can also use trigonometric identities and the derivative of the inverse trigonometric functions.
Some common mistakes when finding trigonometric derivatives include forgetting to use the chain rule, mixing up the derivatives of sine and cosine, and making errors in applying the quotient rule. It is important to carefully follow the rules of differentiation and check your work for mistakes.
Implicit differentiation in trigonometry involves finding the derivative of a function that is not explicitly defined in terms of a single variable. This can be useful when dealing with equations that involve both trigonometric and non-trigonometric functions. It involves using the chain rule and trigonometric identities to differentiate the equation and solve for the derivative.