Answer and Explanation: The derivative of trigonometric functions are: (a) {eq}\displaystyle \begin{aligned} \left(-\tan x\right)' &= -\left(\frac{\sin x}{\cos x}\right)'...Become a member and unlock all Study Answers Start today. Try it now Create an account ...
Now calculate the derivative: dydx=-(sin x)-2×ddx(sin x)⇒ dydx=-cos xsin x×1sin x⇒ dydx=-cot x . cosec x Hence, the derivative of cosec x is"-cot x cosec x". Suggest Corrections 37 Similar questions Q. what is the derivative of |x|? Q. What is derivative of [1x]...
Is there a simpler way to express the derivative of (sin x)^sin x? Yes, you can use the power rule to simplify the derivative of (sin x)^sin x to cos x * (sin x)^sin x * (1 + ln(sin x)). Can you explain the steps to find the derivative of (sin x)^sin x in more ...
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Determine derivative of sin x 2 . a) What is the derivative of ln x. b) Differentiate (sin x)^{cos h x}. c) Evaluate integral_1^{e^{10 {ln x / x} dx. What is the derivative of the trigonometric function cos x? What is the derivative of the trigonomet...
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In particular, spent coffee grounds were chemically modified with phosphorus (dimethyl phosphite) in different ratios to obtain the P-coffee derivative. An epoxy resin containing 30 wt% P-coffee demonstrated a considerable reduction in the pHRR (40%) value by flammability analysis in pyrolysis ...
Cos (cosine) is basic trigonometric function used to determine the ratio between the adjacent side and hypotenuse of right triangle, while cosh (hyperbolic cosine) relates to the sum of the exponential functions e^x and e^-x, used in hyperbolic geometry. ...
The derivative of the natural log is 1/x, therefore the derivative is 1/cos(x). However, since the value of cos(x) is submitted within the natural log we must use the chain rule. Then, we multiply 1/cos(x) by the derivative of cos(x). We get the answer: -sin(x)/cos(x) wh...
The derivative of a function is the measure of the rate of change of a function. It gives an explanation of the function at a specific point. The integral is the measure of the area under the curve of the function. It accumulates the discrete values of a function over a range of values...