Answer to: Find the first derivative. h(x) = \tan 2x By signing up, you'll get thousands of step-by-step solutions to your homework questions. You...
u=sec(2x)+tan(2x)To differentiate u, we will use the derivatives of sec(x) and tan(x):ddx(sec(x))=sec(x)tan(x)andddx(tan(x))=sec2(x)Using the chain rule for sec(2x) and tan(2x):dudx=ddx(sec(2x))+ddx(tan(2x))=sec(2x)tan(2x)⋅2+sec2(2x)⋅2This simplifies to...
To differentiate the tangent function, tan(x), follow these rules. The first is to rewrite tan(x) in terms of sines and cosines. This simply means writing tan(x) as sin(x) / cos(x). Then, use the Quotient Rule, which finds the derivative of a quotient with both a differentiable ...
Find the derivative of h(x)=sin(tan2x). Finding First Derivative with Differentiation Rules:Finding the derivative of a function involves the use of derivation rules, or solving a special limit. Using the derivation rules is generally a shorter path. Also, among the derivation rules, ...
The derivative of sec^2x is equal to 2 sec^2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx.
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 also tan(x)cos(x) or many other forms.Example...
Find the derivative oftan−1(2x)1−x2w.r.tsin−1(2x)1+x2 View Solution The derivative oftan−12x1−x2with respect tosin−12x1+x2, is View Solution Solve the equation2sin−1x=tan−1(2x√1−x21−2x2) View Solution ...
试题来源: 解析 let fixi-tans f(x+h)=tan(x+h) From the dffnition, f'(x)=ln((1/n))-(f(x+h)-f(x))/h = tanuthi-canky lìn h~0 h 、二 h sinh 二 ? ()) 1)()[()=1 s, f'(x)=tanx,f'(x)=sin^2x 反馈 收藏 ...
Finding the derivative of other powers of e can than be done by using the chain rule. For example e2x^2is a function of the form f(g(x)) where f(x) = exand g(x) = 2x2. The derivative following the chain rule then becomes 4x e2x^2. ...
There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated. Note that variables are case sensitive. [1/1]Find the first derivative of function 1tan(πx2) with respect to x: Solution:==Primitive function =1tan(12πx)The first derivative function:d...