Find the derivative of {eq}f(x)= tan(cos(3x)) {/eq}.Question:Find the derivative of {eq}f(x)= tan(cos(3x)) {/eq}.Chain Rule:To evaluate the derivative of the given function, we use the chain rule. The chain rule is used to find the derivative of the composite function. If ...
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. ...
Limit Formula Derivative | Is The Limit The Derivative | limit definition of the derivative to compute, Once we know the most basic differentiation formulas and rules,
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... ...
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...
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(...
tanx=sinxcosx cotx=cosxsinx 3)cscx=1sinx,among others. Answer and Explanation:1 Let us find the derivative ofy=sec(x). Let's redefine the function as a function of cosine. Thus we have {eq}y = \dfrac{1}{\cos x}... ...
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thederivativeofy=f(x). Derivativeformulapage1 axa x x x x aaa ee nxx n a xx xx nn ln 1 )' ln ln ()'(log 1 )'(ln ln)'( )'( )'( 0' 1 Derivativeformulapage2 2 2 2 2 2 2 1 1 )'(arccos 1 1 )'(arcsin csc sin 1 )'(cot sec cos 1 )'(tan sin)'(cos cos)'(...
Answer to: Find the derivative of:{ y= 5^x + \frac{15}{x^6} } By signing up, you'll get thousands of step-by-step solutions to your homework...