What is the derivative of sin(x^2 + 5) cos(x^2 + 9x + 2)? Derivative using Product and Chain Rules: If there is a product of two or more functions in a function, we define its derivative using the product rule. If this function is complex, we also use the chain ...
Finally, multiply the derivative of the exponent by the original function, e^(sin x * ln(sin x)). 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 *...
What is the derivative of {eq}\ln {|\sin x|} {/eq}?Chain Rule:Chain rule will be used to find the derivative let us consider we have a composite function {eq}u=f(g)\\ \frac{\mathrm{d} u}{\mathrm{d} x}=\frac{\mathrm{d} f}{\mathrm{d} g}\frac{\mathrm{d} g}{\...
Iff(x)=2sinx, then what is the derivative off'(x)? View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Bo...
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]...
, the derivative and the integral will be given as: derivative of sin(x), f′(x) = cos(x) integral of sin(x), ∫f(x) dx = −cos(x) + c (where c is the constant of integration) law of sine functions in trigonometry according to law of sines in ...
解析 Let .Now, will be negative when is positive i.e., when and are both positive. Also, we know that and both are positive in the first quadrant. Then, will be negative when Thus, we consider By second derivative test, will be the maximum at and the maximum value of is ...
What is the derivative of {eq}\displaystyle \tan^{-1} \left (\dfrac {1.5} x\right) - \tan^{-1} (0.5) {/eq}? Derivatives: In mathematics, derivatives are a fundamental tool of calculus that is widely used in problems based on calculus and differential equations. The derivatives are ...
What is the derivative of f(x) = \sin(x^2 + 2x+6) + 3x^2 ? What is the derivative of (3x^2-4)/(x) ? What is derivative of f(x)= -3x(x+1)^(1/2)? What is the derivative of 5 x^2? What is the derivative of -x^2 + 2x?
What is the sine of arctan(x) sin( arctan(x) ) = ? The sine of the arctangent of x is: See also Arctan Cosine of arctan Derivative of arctan Integral of arctan ARCTAN