the derivative of f(g(x)) = f’(g(x))g’(x) The individual derivatives are: f'(g) = −1/(g2) g'(x) = −sin(x) So: (1/cos(x))’ =−1g(x)2(−sin(x)) =sin(x)cos2(x) Note:sin(x)cos2(x)is alsotan(x)cos(x)or many other forms. ...
Find the derivative of f(x)= e^{7x^2+8x+3}. Find the derivative of F(x)= \int_{0}^{x^2}t\sin (t)dx|\\ (a) \sin (x^2) + x^2\cos (x^2)|\\ (b)\ x^2\sin (x^2)|\\ (c)\ 2x^2\sin (x)|\\ (d)\ 2x^3\sin (x^2)|\\ (e)\ x\sin(x)| Find the ...
Derivative of a function is nothing but the rate of change of function. Answer and Explanation:1 (1) Givenf(x)=5+4tan(3x+1) On differentiating ,we get {eq}\displaystyle \frac{d}{dx} f(x) =\frac{d}{dx} (5+4 \tan... ...
partial x)(x^{0.2}y^{0.4})∂x∂(x0.2y0.4)limit as x approaches 3 of (3-x)/(x^2-9)x→3lim(x2−93−x)integral of 1/(sqrt(x^2+4x+20))∫x2+4x+201dxderivative of f(t)=tsin(pit)derivative off(t)=tsin(πt)integral of x^2tan(x^3)∫x2tan(...
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Find the derivative of tan (2x+3). View Solution Knowledge Check Find the derivative of f(x)=2x2+3x−4 at x=0. A1 B2 C3 D4Submit Find the derivative of x−97 View Solution " 7.Find the derivative of "7^(x^(3)+3x)" with respect to "x" ." View Solution Find the deri...
)'(tan sin)'(cos cos)'(sin x x x x x x x x x x xx xx Derivativeformulapage3 )( )(')()()(' )' )( )( ( 2 xf xfxgxfxg xf xg )()(')()('))'()((xfxgxgxfxgxf Chainrule Findthederivativeofy=(x 2 +1) 3 Practice1 Findthederivativeof 3 22 )4( xy 32 43 4...
y = cos (tan(2 t + 1)) Find the derivative of the following function. f(x) = sqrt 2x^2 - 3x (x^3 - 1)^2 Find the derivative of the following function: a.) f ( x ) = \sqrt [ 3 ] { x } ( x + 7 ) b.) f ( x ) = \frac { x + 3 } { \sqrt { x ...
Derivative of 5t^-3/5. Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.
{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{{3}^{x}ln^{2}(3)}{arctan(x^{2} - 1)} - \frac{4x{3}^{x}ln(3)}{(x^{4} - 2x^{2} + 2)arctan^{2}(x^{2} - 1)} + \frac{8x^{4}{3}^{x}}{(x^{4} - 2x^{2} + 2)^{2}arctan^{2}(...