Is Y TANX differentiable?
tanx is not differentiable at (2n+1)90 points, which means function itself is not differentiable.
How many derivative rules are there?
However, there are three very important rules that are generally applicable, and depend on the structure of the function we are differentiating. These are the product, quotient, and chain rules, so be on the lookout for them.
What is the derivative of Sec 2?
Answer and Explanation: The derivative of sec2 (x) is 2sec2 (x) tan (x). The chain rule states that the derivative of f(g(x)) is equal to f ‘ (g(x)) ⋅ g ‘ (x).
What is CSC derivative?
The derivative of cosec x is negative of the product of trigonometric functions cosec x and cot x, that is, -cosec x cot x. The differentiation of csc x is the process of evaluating the derivative of cosec x with respect to angle x.
What are the 7 rules of differentiation?
Rules of Differentiation of Functions in Calculus
- 1 – Derivative of a constant function.
- 2 – Derivative of a power function (power rule).
- 3 – Derivative of a function multiplied by a constant.
- 4 – Derivative of the sum of functions (sum rule).
- 5 – Derivative of the difference of functions.
What is the derivative of SEC 2theta?
2sec2
Answer and Explanation: The derivative of sec2 (x) is 2sec2 (x) tan (x). The chain rule states that the derivative of f(g(x)) is equal to f ‘ (g(x)) ⋅ g ‘ (x).
What is the antiderivative of tan2x?
What is the Integral of Tan 2x? The integral of tan 2x is (-1/2)ln |cos 2x| + C which can be calculated using the substitution method followed by integral of tan x formula or by expressing tan 2x in terms of sin and cos.
How to get the derivatives of the other four trig functions?
We can get the derivatives of the other four trig functions by applying the quotient rule to sine and cosine. For instance, ( x). Before watching the video, try one yourself: x. If playback doesn’t begin shortly, try restarting your device. Full screen is unavailable.
How do you find the derivative of a trigonometric ratio?
By dragging the red point, investigate the derivative (sinx)′ ( sin x. Using the Quotient Rule we get formulas for the remaining trigonometric ratios.
What is the chain rule for trigonometric functions?
Chain Rule with Trigonometric Functions. We first rewrite \\ (k (x)\\) as \\ (k (x)=\\sin ( (\\cos x)^ {2}) ext {.}\\) Then Example 4.57. Tangent Line. 2 x at the point (π 8,1). ( π 8, 1).
How to find the derivative of sin x using the quotient rule?
At each point, the graph of the derivative is plotted in red. By dragging the red point, investigate the derivative (sinx)′ ( sin x. Using the Quotient Rule we get formulas for the remaining trigonometric ratios.